190788480 has 256 divisors, whose sum is σ = 690580800. Its totient is φ = 49766400.

The previous prime is 190788469. The next prime is 190788491. The reversal of 190788480 is 84887091.

190788480 is a `hidden beast` number, since 1 + 90 + 7 + 88 + 480 = 666.

190788480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (190788469) and next prime (190788491).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053990 + ... + 1054170.

Almost surely, 2^190788480 is an apocalyptic number.

190788480 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 190788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345290400).

190788480 is an abundant number, since it is smaller than the sum of its proper divisors (499792320).

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

190788480 is a wasteful number, since it uses less digits than its factorization.

190788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 190788480 is about 13812.6203162181. The cubic root of 190788480 is about 575.6838542885.

The spelling of 190788480 in words is "one hundred ninety million, seven hundred eighty-eight thousand, four hundred eighty".