477240971625 has 192 divisors, whose sum is σ = 989404416000. Its totient is φ = 218880144000.

The previous prime is 477240971617. The next prime is 477240971629. The reversal of 477240971625 is 526179042774.

477240971625 is a `hidden beast` number, since 4 + 7 + 7 + 2 + 4 + 0 + 9 + 7 + 1 + 625 = 666.

It is not a de Polignac number, because 477240971625 - 2³ = 477240971617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (477240971629) 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, 227364826 + ... + 227366924.

It is an arithmetic number, because the mean of its divisors is an integer number (5153148000).

Almost surely, 2^477240971625 is an apocalyptic number.

477240971625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

477240971625 is an abundant number, since it is smaller than the sum of its proper divisors (512163444375).

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

477240971625 is a wasteful number, since it uses less digits than its factorization.

477240971625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 477240971625 in words is "four hundred seventy-seven billion, two hundred forty million, nine hundred seventy-one thousand, six hundred twenty-five".