833130496 has 117 divisors (see below), whose sum is σ = 1877041369. Its totient is φ = 369459200.

The previous prime is 833130481. The next prime is 833130499. The reversal of 833130496 is 694031338.

The square root of 833130496 is 28864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 792985600 = 6336^2 + 28160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (833130499) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20320236 + ... + 20320276.

Almost surely, 2^833130496 is an apocalyptic number.

833130496 is the 28864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 833130496

833130496 is an abundant number, since it is smaller than the sum of its proper divisors (1043910873).

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

833130496 is an equidigital number, since it uses as much as digits as its factorization.

833130496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The cubic root of 833130496 is about 940.9596717900.

Multiplying 833130496 by its product of nonzero digits (46656), we get a square (38870536421376 = 6234624²).

The spelling of 833130496 in words is "eight hundred thirty-three million, one hundred thirty thousand, four hundred ninety-six".