992893440 has 640 divisors, whose sum is σ = 4186017792. Its totient is φ = 194641920.

The previous prime is 992893439. The next prime is 992893457. The reversal of 992893440 is 44398299.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 992893440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13601244 + ... + 13601316.

Almost surely, 2^992893440 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 992893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093008896).

992893440 is an abundant number, since it is smaller than the sum of its proper divisors (3193124352).

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

992893440 is a wasteful number, since it uses less digits than its factorization.

992893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 992893440 is about 31510.2116781211. The cubic root of 992893440 is about 997.6255129405.

The spelling of 992893440 in words is "nine hundred ninety-two million, eight hundred ninety-three thousand, four hundred forty".