476740512 has 192 divisors, whose sum is σ = 1469664000. Its totient is φ = 150119424.

The previous prime is 476740501. The next prime is 476740513. The reversal of 476740512 is 215047674.

476740512 is a `hidden beast` number, since 4 + 76 + 74 + 0 + 512 = 666.

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 (476740513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327789 + ... + 1328147.

It is an arithmetic number, because the mean of its divisors is an integer number (7654500).

Almost surely, 2^476740512 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 476740512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734832000).

476740512 is an abundant number, since it is smaller than the sum of its proper divisors (992923488).

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

476740512 is a wasteful number, since it uses less digits than its factorization.

476740512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 476740512 is about 21834.3882900346. The cubic root of 476740512 is about 781.1972147206.

The spelling of 476740512 in words is "four hundred seventy-six million, seven hundred forty thousand, five hundred twelve".