190429920 has 192 divisors, whose sum is σ = 705983040. Its totient is φ = 47775744.

The previous prime is 190429907. The next prime is 190429957. The reversal of 190429920 is 29924091.

190429920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 72144 + ... + 74736.

It is an arithmetic number, because the mean of its divisors is an integer number (3676995).

Almost surely, 2^190429920 is an apocalyptic number.

190429920 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 190429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352991520).

190429920 is an abundant number, since it is smaller than the sum of its proper divisors (515553120).

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

190429920 is a wasteful number, since it uses less digits than its factorization.

190429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 190429920 is about 13799.6347777758. The cubic root of 190429920 is about 575.3229892988.

The spelling of 190429920 in words is "one hundred ninety million, four hundred twenty-nine thousand, nine hundred twenty".