992701440 has 352 divisors, whose sum is σ = 3631541760. Its totient is φ = 257015808.

The previous prime is 992701343. The next prime is 992701441. The reversal of 992701440 is 44107299.

It is a super-2 number, since 2×992701440² = 1970912297956147200, which contains 22 as substring.

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 = 992701395 and 992701404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992701441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5944237 + ... + 5944403.

It is an arithmetic number, because the mean of its divisors is an integer number (10316880).

Almost surely, 2^992701440 is an apocalyptic number.

992701440 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 992701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815770880).

992701440 is an abundant number, since it is smaller than the sum of its proper divisors (2638840320).

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

992701440 is a wasteful number, since it uses less digits than its factorization.

992701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 992701440 is about 31507.1648994320. The cubic root of 992701440 is about 997.5612037747.

The spelling of 992701440 in words is "nine hundred ninety-two million, seven hundred one thousand, four hundred forty".