825424864 has 48 divisors (see below), whose sum is σ = 1795288320. Its totient is φ = 370431360.

The previous prime is 825424849. The next prime is 825424889. The reversal of 825424864 is 468424528.

It is a super-2 number, since 2×825424864² = 1362652412218836992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 825424864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12967 + ... + 42649.

It is an arithmetic number, because the mean of its divisors is an integer number (37401840).

Almost surely, 2^825424864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825424864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897644160).

825424864 is an abundant number, since it is smaller than the sum of its proper divisors (969863456).

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

825424864 is a wasteful number, since it uses less digits than its factorization.

825424864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29783 (or 29775 counting only the distinct ones).

The product of its digits is 491520, while the sum is 43.

The square root of 825424864 is about 28730.2082136555. The cubic root of 825424864 is about 938.0497001169.

The spelling of 825424864 in words is "eight hundred twenty-five million, four hundred twenty-four thousand, eight hundred sixty-four".