475932000 has 192 divisors, whose sum is σ = 1651575744. Its totient is φ = 119398400.

The previous prime is 475931993. The next prime is 475932013. The reversal of 475932000 is 239574.

It is a super-2 number, since 2×475932000² = 453022537248000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202834 + ... + 205166.

It is an arithmetic number, because the mean of its divisors is an integer number (8601957).

Almost surely, 2^475932000 is an apocalyptic number.

475932000 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 475932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825787872).

475932000 is an abundant number, since it is smaller than the sum of its proper divisors (1175643744).

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

475932000 is a wasteful number, since it uses less digits than its factorization.

475932000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 475932000 is about 21815.8657861658. The cubic root of 475932000 is about 780.7553498106.

The spelling of 475932000 in words is "four hundred seventy-five million, nine hundred thirty-two thousand".