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478445940 = 223457311361
BaseRepresentation
bin11100100001001…
…000000101110100
31020100021120110000
4130201020011310
51434440232230
6115250431300
714566503060
oct3441100564
91210246400
10478445940
11226085575
12114292530
137817950b
1447784aa0
152c00bb60
hex1c848174

478445940 has 240 divisors, whose sum is σ = 1771951104. Its totient is φ = 105753600.

The previous prime is 478445939. The next prime is 478445969. The reversal of 478445940 is 49544874.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 350860 + ... + 352220.

Almost surely, 2478445940 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 478445940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885975552).

478445940 is an abundant number, since it is smaller than the sum of its proper divisors (1293505164).

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

478445940 is a wasteful number, since it uses less digits than its factorization.

478445940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 478445940 is about 21873.4071420069. The cubic root of 478445940 is about 782.1276231116.

The spelling of 478445940 in words is "four hundred seventy-eight million, four hundred forty-five thousand, nine hundred forty".