476456112 has 180 divisors, whose sum is σ = 1507874472. Its totient is φ = 139276800.

The previous prime is 476456107. The next prime is 476456117. The reversal of 476456112 is 211654674.

476456112 is a `hidden beast` number, since 4 + 7 + 645 + 6 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (476456107) and next prime (476456117).

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

Its product of digits (40320) is a multiple of the sum of its prime divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476456117) 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, 1522068 + ... + 1522380.

Almost surely, 2^476456112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476456112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753937236).

476456112 is an abundant number, since it is smaller than the sum of its proper divisors (1031418360).

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

476456112 is a wasteful number, since it uses less digits than its factorization.

476456112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 360 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 476456112 is about 21827.8746560447. The cubic root of 476456112 is about 781.0418425100.

The spelling of 476456112 in words is "four hundred seventy-six million, four hundred fifty-six thousand, one hundred twelve".