471765640 has 64 divisors (see below), whose sum is σ = 1130416560. Its totient is φ = 176578560.

The previous prime is 471765631. The next prime is 471765653. The reversal of 471765640 is 46567174.

It can be written as a sum of positive squares in 8 ways, for example, as 62188996 + 409576644 = 7886^2 + 20238^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 471765593 and 471765602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121164 + ... + 124996.

Almost surely, 2^471765640 is an apocalyptic number.

471765640 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 471765640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565208280).

471765640 is an abundant number, since it is smaller than the sum of its proper divisors (658650920).

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

471765640 is a wasteful number, since it uses less digits than its factorization.

471765640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 471765640 is about 21720.1666660272. The cubic root of 471765640 is about 778.4703970609.

The spelling of 471765640 in words is "four hundred seventy-one million, seven hundred sixty-five thousand, six hundred forty".