152400684 has 48 divisors (see below), whose sum is σ = 370782720. Its totient is φ = 48659520.

The previous prime is 152400641. The next prime is 152400701. The reversal of 152400684 is 486004251.

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 15 ways as a sum of consecutive naturals, for example, 43917 + ... + 47259.

It is an arithmetic number, because the mean of its divisors is an integer number (7724640).

Almost surely, 2^152400684 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 152400684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185391360).

152400684 is an abundant number, since it is smaller than the sum of its proper divisors (218382036).

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

152400684 is a wasteful number, since it uses less digits than its factorization.

152400684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 152400684 is about 12345.0671930128. The cubic root of 152400684 is about 534.1488594521.

The spelling of 152400684 in words is "one hundred fifty-two million, four hundred thousand, six hundred eighty-four".