158630400 has 420 divisors, whose sum is σ = 623921562. Its totient is φ = 39813120.

The previous prime is 158630399. The next prime is 158630413. The reversal of 158630400 is 4036851.

It can be written as a sum of positive squares in 3 ways, for example, as 136048896 + 22581504 = 11664^2 + 4752^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 9331192 + ... + 9331208.

Almost surely, 2^158630400 is an apocalyptic number.

158630400 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 158630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311960781).

158630400 is an abundant number, since it is smaller than the sum of its proper divisors (465291162).

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

158630400 is an frugal number, since it uses more digits than its factorization.

158630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 27 counting only the distinct ones).

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

The square root of 158630400 is about 12594.8560928658. The cubic root of 158630400 is about 541.3300546338.

The spelling of 158630400 in words is "one hundred fifty-eight million, six hundred thirty thousand, four hundred".