476553312 has 72 divisors (see below), whose sum is σ = 1375481016. Its totient is φ = 156473856.

The previous prime is 476553277. The next prime is 476553313. The reversal of 476553312 is 213355674.

476553312 is a `hidden beast` number, since 4 + 76 + 553 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (476553313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6948 + ... + 31644.

It is an arithmetic number, because the mean of its divisors is an integer number (19103903).

Almost surely, 2^476553312 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 476553312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687740508).

476553312 is an abundant number, since it is smaller than the sum of its proper divisors (898927704).

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

476553312 is a wasteful number, since it uses less digits than its factorization.

476553312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24780 (or 24769 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 476553312 is about 21830.1010533621. The cubic root of 476553312 is about 781.0949513577.

The spelling of 476553312 in words is "four hundred seventy-six million, five hundred fifty-three thousand, three hundred twelve".