358874870400 has 576 divisors, whose sum is σ = 1300248549600. Its totient is φ = 94240972800.

The previous prime is 358874870371. The next prime is 358874870407. The reversal of 358874870400 is 4078478853.

It is a happy number.

358874870400 is a `hidden beast` number, since 3 + 58 + 87 + 48 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (358874870407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 628502115 + ... + 628502685.

Almost surely, 2^358874870400 is an apocalyptic number.

358874870400 is a gapful number since it is divisible by the number (30) 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 358874870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650124274800).

358874870400 is an abundant number, since it is smaller than the sum of its proper divisors (941373679200).

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

358874870400 is a wasteful number, since it uses less digits than its factorization.

358874870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 358874870400 in words is "three hundred fifty-eight billion, eight hundred seventy-four million, eight hundred seventy thousand, four hundred".