992435040 has 144 divisors (see below), whose sum is σ = 3413185776. Its totient is φ = 262579200.

The previous prime is 992435011. The next prime is 992435063. The reversal of 992435040 is 40534299.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 992434986 and 992435004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186010 + ... + 191270.

It is an arithmetic number, because the mean of its divisors is an integer number (23702679).

Almost surely, 2^992435040 is an apocalyptic number.

992435040 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 992435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706592888).

992435040 is an abundant number, since it is smaller than the sum of its proper divisors (2420750736).

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

992435040 is a wasteful number, since it uses less digits than its factorization.

992435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5413 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 992435040 is about 31502.9370059364. The cubic root of 992435040 is about 997.4719610714.

The spelling of 992435040 in words is "nine hundred ninety-two million, four hundred thirty-five thousand, forty".