920431512 has 576 divisors, whose sum is σ = 3578615040. Its totient is φ = 215550720.

The previous prime is 920431489. The next prime is 920431513. The reversal of 920431512 is 215134029.

It is a super-2 number, since 2×920431512² = 1694388336565212288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920431513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21405363 + ... + 21405405.

Almost surely, 2^920431512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920431512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789307520).

920431512 is an abundant number, since it is smaller than the sum of its proper divisors (2658183528).

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

920431512 is a wasteful number, since it uses less digits than its factorization.

920431512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 920431512 is about 30338.6142069805. The cubic root of 920431512 is about 972.7408617809.

The spelling of 920431512 in words is "nine hundred twenty million, four hundred thirty-one thousand, five hundred twelve".