157960440 has 192 divisors, whose sum is σ = 566598240. Its totient is φ = 37847040.

The previous prime is 157960409. The next prime is 157960483. The reversal of 157960440 is 44069751.

157960440 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 604 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157960395 and 157960404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447304 + ... + 447656.

Almost surely, 2^157960440 is an apocalyptic number.

157960440 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 157960440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283299120).

157960440 is an abundant number, since it is smaller than the sum of its proper divisors (408637800).

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

157960440 is a wasteful number, since it uses less digits than its factorization.

157960440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 157960440 is about 12568.2313791559. The cubic root of 157960440 is about 540.5668943755.

The spelling of 157960440 in words is "one hundred fifty-seven million, nine hundred sixty thousand, four hundred forty".