475724928 has 192 divisors, whose sum is σ = 1488849120. Its totient is φ = 134184960.

The previous prime is 475724911. The next prime is 475724933. The reversal of 475724928 is 829427574.

It is a tau number, because it is divible by the number of its divisors (192).

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

Its product of digits (1128960) is a multiple of the sum of its prime divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2464800 + ... + 2464992.

Almost surely, 2^475724928 is an apocalyptic number.

475724928 is a gapful number since it is divisible by the number (48) 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 475724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744424560).

475724928 is an abundant number, since it is smaller than the sum of its proper divisors (1013124192).

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

475724928 is a wasteful number, since it uses less digits than its factorization.

475724928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 336 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 475724928 is about 21811.1193660481. The cubic root of 475724928 is about 780.6421011219.

The spelling of 475724928 in words is "four hundred seventy-five million, seven hundred twenty-four thousand, nine hundred twenty-eight".