152438400 has 288 divisors, whose sum is σ = 559041600. Its totient is φ = 39536640.

The previous prime is 152438383. The next prime is 152438417. The reversal of 152438400 is 4834251.

152438400 is a `hidden beast` number, since 15 + 243 + 8 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (152438383) and next prime (152438417).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1929561 + ... + 1929639.

Almost surely, 2^152438400 is an apocalyptic number.

152438400 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 152438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279520800).

152438400 is an abundant number, since it is smaller than the sum of its proper divisors (406603200).

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

152438400 is a wasteful number, since it uses less digits than its factorization.

152438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 152438400 is about 12346.5946722163. The cubic root of 152438400 is about 534.1929193959.

The spelling of 152438400 in words is "one hundred fifty-two million, four hundred thirty-eight thousand, four hundred".