152457408 has 84 divisors (see below), whose sum is σ = 452109840. Its totient is φ = 49061376.

The previous prime is 152457397. The next prime is 152457413. The reversal of 152457408 is 804754251.

152457408 is a `hidden beast` number, since 1 + 5 + 245 + 7 + 408 = 666.

It is a super-2 number, since 2×152457408² = 46486522508156928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12141 + ... + 21267.

It is an arithmetic number, because the mean of its divisors is an integer number (5382260).

Almost surely, 2^152457408 is an apocalyptic number.

152457408 is a gapful number since it is divisible by the number (18) 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 152457408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226054920).

152457408 is an abundant number, since it is smaller than the sum of its proper divisors (299652432).

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

152457408 is a wasteful number, since it uses less digits than its factorization.

152457408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9174 (or 9161 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 152457408 is about 12347.3644151292. The cubic root of 152457408 is about 534.2151218440.

The spelling of 152457408 in words is "one hundred fifty-two million, four hundred fifty-seven thousand, four hundred eight".