190401792 has 144 divisors (see below), whose sum is σ = 586317312. Its totient is φ = 53729280.

The previous prime is 190401787. The next prime is 190401839. The reversal of 190401792 is 297104091.

It is a super-2 number, since 2×190401792² = 72505684793622528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575067 + ... + 575397.

It is an arithmetic number, because the mean of its divisors is an integer number (4071648).

Almost surely, 2^190401792 is an apocalyptic number.

190401792 is a gapful number since it is divisible by the number (12) 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 190401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293158656).

190401792 is an abundant number, since it is smaller than the sum of its proper divisors (395915520).

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

190401792 is a wasteful number, since it uses less digits than its factorization.

190401792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 190401792 is about 13798.6155827315. The cubic root of 190401792 is about 575.2946613240.

The spelling of 190401792 in words is "one hundred ninety million, four hundred one thousand, seven hundred ninety-two".