475904400 has 120 divisors (see below), whose sum is σ = 1604793120. Its totient is φ = 120222720.

The previous prime is 475904399. The next prime is 475904459. The reversal of 475904400 is 4409574.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 12364 + ... + 33236.

It is an arithmetic number, because the mean of its divisors is an integer number (13373276).

Almost surely, 2^475904400 is an apocalyptic number.

475904400 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 475904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802396560).

475904400 is an abundant number, since it is smaller than the sum of its proper divisors (1128888720).

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

475904400 is a wasteful number, since it uses less digits than its factorization.

475904400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20913 (or 20902 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 475904400 is about 21815.2332098467. The cubic root of 475904400 is about 780.7402571333.

The spelling of 475904400 in words is "four hundred seventy-five million, nine hundred four thousand, four hundred".