476654400 has 252 divisors, whose sum is σ = 1719681600. Its totient is φ = 125199360.

The previous prime is 476654393. The next prime is 476654407. The reversal of 476654400 is 4456674.

It is an interprime number because it is at equal distance from previous prime (476654393) and next prime (476654407).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476654407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1137391 + ... + 1137809.

Almost surely, 2^476654400 is an apocalyptic number.

476654400 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 476654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859840800).

476654400 is an abundant number, since it is smaller than the sum of its proper divisors (1243027200).

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

476654400 is a wasteful number, since it uses less digits than its factorization.

476654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 476654400 is about 21832.4162657274. The cubic root of 476654400 is about 781.1501768991.

The spelling of 476654400 in words is "four hundred seventy-six million, six hundred fifty-four thousand, four hundred".