190820400 has 60 divisors (see below), whose sum is σ = 611265192. Its totient is φ = 50885120.

The previous prime is 190820389. The next prime is 190820417. The reversal of 190820400 is 4028091.

190820400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78309 + ... + 80708.

Almost surely, 2^190820400 is an apocalyptic number.

190820400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

190820400 is an abundant number, since it is smaller than the sum of its proper divisors (420444792).

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

190820400 is a wasteful number, since it uses less digits than its factorization.

190820400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159038 (or 159027 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 190820400 is about 13813.7757329414. The cubic root of 190820400 is about 575.7159575614.

Adding to 190820400 its reverse (4028091), we get a palindrome (194848491).

The spelling of 190820400 in words is "one hundred ninety million, eight hundred twenty thousand, four hundred".