152452400 has 60 divisors (see below), whose sum is σ = 367939992. Its totient is φ = 60702720.

The previous prime is 152452393. The next prime is 152452411. The reversal of 152452400 is 4254251.

It is a happy 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, 102059 + ... + 103541.

Almost surely, 2^152452400 is an apocalyptic number.

152452400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183969996).

152452400 is an abundant number, since it is smaller than the sum of its proper divisors (215487592).

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

152452400 is a wasteful number, since it uses less digits than its factorization.

152452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 152452400 is about 12347.1616171491. The cubic root of 152452400 is about 534.2092723882.

The spelling of 152452400 in words is "one hundred fifty-two million, four hundred fifty-two thousand, four hundred".