188420400 has 180 divisors, whose sum is σ = 747381232. Its totient is φ = 43061760.

The previous prime is 188420377. The next prime is 188420417. The reversal of 188420400 is 4024881.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21462 + ... + 28938.

Almost surely, 2^188420400 is an apocalyptic number.

188420400 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 188420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373690616).

188420400 is an abundant number, since it is smaller than the sum of its proper divisors (558960832).

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

188420400 is a wasteful number, since it uses less digits than its factorization.

188420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7508 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 188420400 is about 13726.6310506256. The cubic root of 188420400 is about 573.2921219101.

The spelling of 188420400 in words is "one hundred eighty-eight million, four hundred twenty thousand, four hundred".