189956400 has 120 divisors (see below), whose sum is σ = 619037760. Its totient is φ = 49777920.

The previous prime is 189956383. The next prime is 189956443. The reversal of 189956400 is 4659981.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69459 + ... + 72141.

It is an arithmetic number, because the mean of its divisors is an integer number (5158648).

Almost surely, 2^189956400 is an apocalyptic number.

189956400 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 189956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309518880).

189956400 is an abundant number, since it is smaller than the sum of its proper divisors (429081360).

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

189956400 is a wasteful number, since it uses less digits than its factorization.

189956400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 189956400 is about 13782.4671231242. The cubic root of 189956400 is about 574.8457305107.

The spelling of 189956400 in words is "one hundred eighty-nine million, nine hundred fifty-six thousand, four hundred".