152426304 has 84 divisors (see below), whose sum is σ = 445235076. Its totient is φ = 49840128.

The previous prime is 152426299. The next prime is 152426317. The reversal of 152426304 is 403624251.

152426304 is a `hidden beast` number, since 1 + 5 + 24 + 2 + 630 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81866304 + 70560000 = 9048^2 + 8400^2 .

It is a super-2 number, since 2×152426304² = 46467556302200832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28032 + ... + 33024.

Almost surely, 2^152426304 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 152426304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222617538).

152426304 is an abundant number, since it is smaller than the sum of its proper divisors (292808772).

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

152426304 is a wasteful number, since it uses less digits than its factorization.

152426304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 152426304 is about 12346.1048108300. The cubic root of 152426304 is about 534.1787896043.

The spelling of 152426304 in words is "one hundred fifty-two million, four hundred twenty-six thousand, three hundred four".