358799400 has 144 divisors (see below), whose sum is σ = 1228029660. Its totient is φ = 93849600.

The previous prime is 358799359. The next prime is 358799407. The reversal of 358799400 is 4997853.

It can be written as a sum of positive squares in 6 ways, for example, as 159820164 + 198979236 = 12642^2 + 14106^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (358799407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93520 + ... + 97280.

Almost surely, 2^358799400 is an apocalyptic number.

358799400 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 358799400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614014830).

358799400 is an abundant number, since it is smaller than the sum of its proper divisors (869230260).

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

358799400 is a wasteful number, since it uses less digits than its factorization.

358799400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 358799400 is about 18942.0009502692. Note that the first 3 decimals coincide. The cubic root of 358799400 is about 710.5869641971.

The spelling of 358799400 in words is "three hundred fifty-eight million, seven hundred ninety-nine thousand, four hundred".