476922400 has 144 divisors (see below), whose sum is σ = 1227812040. Its totient is φ = 180633600.

The previous prime is 476922389. The next prime is 476922443. The reversal of 476922400 is 4229674.

It can be written as a sum of positive squares in 12 ways, for example, as 11916304 + 465006096 = 3452^2 + 21564^2 .

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 23 ways as a sum of consecutive naturals, for example, 1415032 + ... + 1415368.

Almost surely, 2^476922400 is an apocalyptic number.

476922400 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 476922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613906020).

476922400 is an abundant number, since it is smaller than the sum of its proper divisors (750889640).

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

476922400 is a wasteful number, since it uses less digits than its factorization.

476922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 476922400 is about 21838.5530656223. The cubic root of 476922400 is about 781.2965506129.

The spelling of 476922400 in words is "four hundred seventy-six million, nine hundred twenty-two thousand, four hundred".