165957480 has 96 divisors (see below), whose sum is σ = 580867560. Its totient is φ = 40849920.

The previous prime is 165957437. The next prime is 165957497. The reversal of 165957480 is 84759561.

165957480 is a `hidden beast` number, since 16 + 595 + 7 + 48 + 0 = 666.

165957480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 95296644 + 70660836 = 9762^2 + 8406^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13051 + ... + 22410.

Almost surely, 2^165957480 is an apocalyptic number.

165957480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165957480 is an abundant number, since it is smaller than the sum of its proper divisors (414910080).

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

165957480 is a wasteful number, since it uses less digits than its factorization.

165957480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35491 (or 35484 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 165957480 is about 12882.4485250282. The cubic root of 165957480 is about 549.5395374712.

It can be divided in two parts, 165 and 957480, that multiplied together give a triangular number (157984200 = T₁₇₇₇₅).

The spelling of 165957480 in words is "one hundred sixty-five million, nine hundred fifty-seven thousand, four hundred eighty".