190964400 has 480 divisors, whose sum is σ = 757237248. Its totient is φ = 40550400.

The previous prime is 190964387. The next prime is 190964447. The reversal of 190964400 is 4469091.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5161182 + ... + 5161218.

Almost surely, 2^190964400 is an apocalyptic number.

190964400 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 190964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378618624).

190964400 is an abundant number, since it is smaller than the sum of its proper divisors (566272848).

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

190964400 is a wasteful number, since it uses less digits than its factorization.

190964400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 190964400 is about 13818.9869382672. The cubic root of 190964400 is about 575.8607398676.

The spelling of 190964400 in words is "one hundred ninety million, nine hundred sixty-four thousand, four hundred".