825574464 has 336 divisors, whose sum is σ = 2878165440. Its totient is φ = 230031360.

The previous prime is 825574457. The next prime is 825574471. The reversal of 825574464 is 464475528.

It is an interprime number because it is at equal distance from previous prime (825574457) and next prime (825574471).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3212224 + ... + 3212480.

Almost surely, 2^825574464 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 825574464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439082720).

825574464 is an abundant number, since it is smaller than the sum of its proper divisors (2052590976).

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

825574464 is a wasteful number, since it uses less digits than its factorization.

825574464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 825574464 is about 28732.8116271276. The cubic root of 825574464 is about 938.1063674019.

The spelling of 825574464 in words is "eight hundred twenty-five million, five hundred seventy-four thousand, four hundred sixty-four".