356228400 has 120 divisors (see below), whose sum is σ = 1244902464. Its totient is φ = 86355200.

The previous prime is 356228363. The next prime is 356228407. The reversal of 356228400 is 4822653.

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 not an unprimeable number, because it can be changed into a prime (356228407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294 + ... + 26693.

Almost surely, 2^356228400 is an apocalyptic number.

356228400 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 356228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622451232).

356228400 is an abundant number, since it is smaller than the sum of its proper divisors (888674064).

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

356228400 is a wasteful number, since it uses less digits than its factorization.

356228400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27019 (or 27008 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 356228400 is about 18874.0138815250. The cubic root of 356228400 is about 708.8856419778.

The spelling of 356228400 in words is "three hundred fifty-six million, two hundred twenty-eight thousand, four hundred".