156416400 has 240 divisors, whose sum is σ = 636566400. Its totient is φ = 35735040.

The previous prime is 156416387. The next prime is 156416411. The reversal of 156416400 is 4614651.

156416400 is a `hidden beast` number, since 15 + 6 + 4 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74566 + ... + 76634.

It is an arithmetic number, because the mean of its divisors is an integer number (2652360).

Almost surely, 2^156416400 is an apocalyptic number.

156416400 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 156416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318283200).

156416400 is an abundant number, since it is smaller than the sum of its proper divisors (480150000).

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

156416400 is a wasteful number, since it uses less digits than its factorization.

156416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 156416400 is about 12506.6542288495. The cubic root of 156416400 is about 538.7998035723.

It can be divided in two parts, 156416 and 400, that added together give a square (156816 = 396²).

The spelling of 156416400 in words is "one hundred fifty-six million, four hundred sixteen thousand, four hundred".