157409304 has 72 divisors (see below), whose sum is σ = 428296860. Its totient is φ = 48187776.

The previous prime is 157409297. The next prime is 157409347. The reversal of 157409304 is 403904751.

It is a super-3 number, since 3×157409304³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 798934 + ... + 799130.

Almost surely, 2^157409304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157409304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214148430).

157409304 is an abundant number, since it is smaller than the sum of its proper divisors (270887556).

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

157409304 is a wasteful number, since it uses less digits than its factorization.

157409304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 157409304 is about 12546.2864625354. The cubic root of 157409304 is about 539.9374687538.

The spelling of 157409304 in words is "one hundred fifty-seven million, four hundred nine thousand, three hundred four".