476397015120 has 960 divisors, whose sum is σ = 1833857625600. Its totient is φ = 110005862400.

The previous prime is 476397015067. The next prime is 476397015121. The reversal of 476397015120 is 21510793674.

476397015120 is a `hidden beast` number, since 4 + 7 + 63 + 9 + 70 + 1 + 512 + 0 = 666.

It is a super-2 number, since 2×476397015120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476397015121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2418258862 + ... + 2418259058.

It is an arithmetic number, because the mean of its divisors is an integer number (1910268360).

Almost surely, 2^476397015120 is an apocalyptic number.

476397015120 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 476397015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916928812800).

476397015120 is an abundant number, since it is smaller than the sum of its proper divisors (1357460610480).

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

476397015120 is a wasteful number, since it uses less digits than its factorization.

476397015120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 476397015120 in words is "four hundred seventy-six billion, three hundred ninety-seven million, fifteen thousand, one hundred twenty".