157956480 has 320 divisors, whose sum is σ = 617593680. Its totient is φ = 38154240.

The previous prime is 157956473. The next prime is 157956493. The reversal of 157956480 is 84659751.

157956480 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 570102 + ... + 570378.

Almost surely, 2^157956480 is an apocalyptic number.

157956480 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 157956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308796840).

157956480 is an abundant number, since it is smaller than the sum of its proper divisors (459637200).

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

157956480 is a wasteful number, since it uses less digits than its factorization.

157956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

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

The square root of 157956480 is about 12568.0738381026. The cubic root of 157956480 is about 540.5623770782.

The spelling of 157956480 in words is "one hundred fifty-seven million, nine hundred fifty-six thousand, four hundred eighty".