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990477408 = 25323344281
BaseRepresentation
bin111011000010010…
…111110001100000
32120000202110120110
4323002113301200
54012030234113
6242141211320
733354630144
oct7302276140
92500673513
10990477408
1146910a378
12237860b40
1312a284a0b
149578d224
155be4ebc3
hex3b097c60

990477408 has 48 divisors (see below), whose sum is σ = 2611220976. Its totient is φ = 328734720.

The previous prime is 990477377. The next prime is 990477421. The reversal of 990477408 is 804774099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228 + ... + 44508.

It is an arithmetic number, because the mean of its divisors is an integer number (54400437).

Almost surely, 2990477408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990477408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305610488).

990477408 is an abundant number, since it is smaller than the sum of its proper divisors (1620743568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

990477408 is a wasteful number, since it uses less digits than its factorization.

990477408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44527 (or 44519 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 990477408 is about 31471.8510418437. The cubic root of 990477408 is about 996.8156734943.

The spelling of 990477408 in words is "nine hundred ninety million, four hundred seventy-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233 466 699 932 1398 1864 2796 3728 5592 7456 11184 22368 44281 88562 132843 177124 265686 354248 531372 708496 1062744 1416992 2125488 4250976 10317473 20634946 30952419 41269892 61904838 82539784 123809676 165079568 247619352 330159136 495238704 990477408