476472600 has 288 divisors, whose sum is σ = 1770556320. Its totient is φ = 114216960.

The previous prime is 476472593. The next prime is 476472641. The reversal of 476472600 is 6274674.

476472600 is a `hidden beast` number, since 4 + 7 + 6 + 47 + 2 + 600 = 666.

It is a super-2 number, since 2×476472600² = 454052277101520000, which contains 22 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 703462 + ... + 704138.

It is an arithmetic number, because the mean of its divisors is an integer number (6147765).

Almost surely, 2^476472600 is an apocalyptic number.

476472600 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 476472600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885278160).

476472600 is an abundant number, since it is smaller than the sum of its proper divisors (1294083720).

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

476472600 is a wasteful number, since it uses less digits than its factorization.

476472600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 476472600 is about 21828.2523349901. The cubic root of 476472600 is about 781.0508518529.

The spelling of 476472600 in words is "four hundred seventy-six million, four hundred seventy-two thousand, six hundred".