1792492416 has 576 divisors, whose sum is σ = 6522647040. Its totient is φ = 485222400.

The previous prime is 1792492409. The next prime is 1792492421. The reversal of 1792492416 is 6142942971.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1792492416² = 6426058122835034112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57822321 + ... + 57822351.

It is an arithmetic number, because the mean of its divisors is an integer number (11324040).

Almost surely, 2^1792492416 is an apocalyptic number.

1792492416 is a gapful number since it is divisible by the number (16) 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 1792492416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261323520).

1792492416 is an abundant number, since it is smaller than the sum of its proper divisors (4730154624).

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

1792492416 is a wasteful number, since it uses less digits than its factorization.

1792492416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1792492416 is about 42337.8366948525. The cubic root of 1792492416 is about 1214.7468333974.

The spelling of 1792492416 in words is "one billion, seven hundred ninety-two million, four hundred ninety-two thousand, four hundred sixteen".