158408400 has 120 divisors (see below), whose sum is σ = 512851104. Its totient is φ = 41792000.

The previous prime is 158408381. The next prime is 158408413. The reversal of 158408400 is 4804851.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120547 + ... + 121853.

Almost surely, 2^158408400 is an apocalyptic number.

158408400 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 158408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256425552).

158408400 is an abundant number, since it is smaller than the sum of its proper divisors (354442704).

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

158408400 is a wasteful number, since it uses less digits than its factorization.

158408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 158408400 is about 12586.0398855240. The cubic root of 158408400 is about 541.0774099606.

The spelling of 158408400 in words is "one hundred fifty-eight million, four hundred eight thousand, four hundred".