152460400 has 60 divisors (see below), whose sum is σ = 367478712. Its totient is φ = 60785920.

The previous prime is 152460397. The next prime is 152460401. The reversal of 152460400 is 4064251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152460401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224862 + ... + 225538.

Almost surely, 2^152460400 is an apocalyptic number.

152460400 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 152460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183739356).

152460400 is an abundant number, since it is smaller than the sum of its proper divisors (215018312).

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

152460400 is a wasteful number, since it uses less digits than its factorization.

152460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 152460400 is about 12347.4855739944. The cubic root of 152460400 is about 534.2186165057.

The spelling of 152460400 in words is "one hundred fifty-two million, four hundred sixty thousand, four hundred".