825301344 has 192 divisors, whose sum is σ = 2581770240. Its totient is φ = 225884160.

The previous prime is 825301339. The next prime is 825301349. The reversal of 825301344 is 443103528.

It is an interprime number because it is at equal distance from previous prime (825301339) and next prime (825301349).

It is a super-2 number, since 2×825301344² = 1362244616816412672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825301349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3603822 + ... + 3604050.

It is an arithmetic number, because the mean of its divisors is an integer number (13446720).

Almost surely, 2^825301344 is an apocalyptic number.

825301344 is a gapful number since it is divisible by the number (84) 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 825301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290885120).

825301344 is an abundant number, since it is smaller than the sum of its proper divisors (1756468896).

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

825301344 is a wasteful number, since it uses less digits than its factorization.

825301344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 825301344 is about 28728.0584794726. The cubic root of 825301344 is about 938.0029065669.

The spelling of 825301344 in words is "eight hundred twenty-five million, three hundred one thousand, three hundred forty-four".