152406304 has 48 divisors (see below), whose sum is σ = 307480320. Its totient is φ = 74338560.

The previous prime is 152406299. The next prime is 152406311. The reversal of 152406304 is 403604251.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317937 + ... + 318415.

It is an arithmetic number, because the mean of its divisors is an integer number (6405840).

Almost surely, 2^152406304 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 152406304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153740160).

152406304 is an abundant number, since it is smaller than the sum of its proper divisors (155074016).

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

152406304 is a wasteful number, since it uses less digits than its factorization.

152406304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 152406304 is about 12345.2948121946. The cubic root of 152406304 is about 534.1554252137.

The spelling of 152406304 in words is "one hundred fifty-two million, four hundred six thousand, three hundred four".