157966480 has 160 divisors (see below), whose sum is σ = 443543040. Its totient is φ = 51179520.

The previous prime is 157966439. The next prime is 157966517. The reversal of 157966480 is 84669751.

It is a self number, because there is not a number n which added to its sum of digits gives 157966480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152972 + ... + 1153108.

It is an arithmetic number, because the mean of its divisors is an integer number (2772144).

Almost surely, 2^157966480 is an apocalyptic number.

157966480 is a gapful number since it is divisible by the number (10) 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 157966480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221771520).

157966480 is an abundant number, since it is smaller than the sum of its proper divisors (285576560).

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

157966480 is a wasteful number, since it uses less digits than its factorization.

157966480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 157966480 is about 12568.4716652424. The cubic root of 157966480 is about 540.5737842491.

The spelling of 157966480 in words is "one hundred fifty-seven million, nine hundred sixty-six thousand, four hundred eighty".