152400400 has 30 divisors (see below), whose sum is σ = 366142922. Its totient is φ = 60960000.

The previous prime is 152400397. The next prime is 152400419. The reversal of 152400400 is 4004251.

152400400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2876416 + 149523984 = 1696^2 + 12228^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 190101 + ... + 190900.

Almost surely, 2^152400400 is an apocalyptic number.

152400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152400400 is an abundant number, since it is smaller than the sum of its proper divisors (213742522).

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

152400400 is a wasteful number, since it uses less digits than its factorization.

152400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381019 (or 381008 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 152400400 is about 12345.0556904374. The cubic root of 152400400 is about 534.1485276549.

Adding to 152400400 its reverse (4004251), we get a palindrome (156404651).

The spelling of 152400400 in words is "one hundred fifty-two million, four hundred thousand, four hundred".