476663040 has 432 divisors, whose sum is σ = 1974405888. Its totient is φ = 103809024.

The previous prime is 476663029. The next prime is 476663081. The reversal of 476663040 is 40366674.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 476662986 and 476663004.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1854592 + ... + 1854848.

It is an arithmetic number, because the mean of its divisors is an integer number (4570384).

Almost surely, 2^476663040 is an apocalyptic number.

476663040 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 476663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987202944).

476663040 is an abundant number, since it is smaller than the sum of its proper divisors (1497742848).

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

476663040 is a wasteful number, since it uses less digits than its factorization.

476663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 476663040 is about 21832.6141357374. The cubic root of 476663040 is about 781.1548966687.

The spelling of 476663040 in words is "four hundred seventy-six million, six hundred sixty-three thousand, forty".