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474245280 = 25345233743
BaseRepresentation
bin11100010001000…
…110100010100000
31020001101011020000
4130101012202200
51432401322110
6115020420000
714516006205
oct3421064240
91201334200
10474245280
11223776553
121129a7600
1377338512
1446dadcac
152b97c1c0
hex1c4468a0

474245280 has 480 divisors, whose sum is σ = 1835374464. Its totient is φ = 114960384.

The previous prime is 474245279. The next prime is 474245309. The reversal of 474245280 is 82542474.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11028939 + ... + 11028981.

Almost surely, 2474245280 is an apocalyptic number.

474245280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474245280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917687232).

474245280 is an abundant number, since it is smaller than the sum of its proper divisors (1361129184).

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

474245280 is a wasteful number, since it uses less digits than its factorization.

474245280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 474245280 is about 21777.1733702976. The cubic root of 474245280 is about 779.8319164447.

The spelling of 474245280 in words is "four hundred seventy-four million, two hundred forty-five thousand, two hundred eighty".