992431440 has 1120 divisors, whose sum is σ = 4918185216. Its totient is φ = 179159040.

The previous prime is 992431421. The next prime is 992431459. The reversal of 992431440 is 44134299.

992431440 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 (992431421) and next prime (992431459).

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

It is a junction number, because it is equal to n+sod(n) for n = 992431395 and 992431404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 58378312 + ... + 58378328.

Almost surely, 2^992431440 is an apocalyptic number.

992431440 is a gapful number since it is divisible by the number (90) 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 992431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459092608).

992431440 is an abundant number, since it is smaller than the sum of its proper divisors (3925753776).

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

992431440 is a wasteful number, since it uses less digits than its factorization.

992431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 992431440 is about 31502.8798683549. The cubic root of 992431440 is about 997.4707549796.

The spelling of 992431440 in words is "nine hundred ninety-two million, four hundred thirty-one thousand, four hundred forty".