158450400 has 216 divisors, whose sum is σ = 569729160. Its totient is φ = 41425920.

The previous prime is 158450389. The next prime is 158450417. The reversal of 158450400 is 4054851.

158450400 is a `hidden beast` number, since 158 + 4 + 504 + 0 + 0 = 666.

It is a congruent number.

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, 424614 + ... + 424986.

It is an arithmetic number, because the mean of its divisors is an integer number (2637635).

Almost surely, 2^158450400 is an apocalyptic number.

158450400 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 158450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284864580).

158450400 is an abundant number, since it is smaller than the sum of its proper divisors (411278760).

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

158450400 is a wasteful number, since it uses less digits than its factorization.

158450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 158450400 is about 12587.7082902330. The cubic root of 158450400 is about 541.1252256974.

It can be divided in two parts, 1584 and 50400, that added together give a square (51984 = 228²).

The spelling of 158450400 in words is "one hundred fifty-eight million, four hundred fifty thousand, four hundred".