356000400 has 480 divisors, whose sum is σ = 1538830080. Its totient is φ = 76308480.

The previous prime is 356000399. The next prime is 356000443. The reversal of 356000400 is 4000653.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285062 + ... + 1285338.

It is an arithmetic number, because the mean of its divisors is an integer number (3205896).

Almost surely, 2^356000400 is an apocalyptic number.

356000400 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 356000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769415040).

356000400 is an abundant number, since it is smaller than the sum of its proper divisors (1182829680).

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

356000400 is a wasteful number, since it uses less digits than its factorization.

356000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 356000400 is about 18867.9728640890. The cubic root of 356000400 is about 708.7343715935.

The spelling of 356000400 in words is "three hundred fifty-six million, four hundred", and thus it is an aban number.