825909504 has 216 divisors, whose sum is σ = 2709510048. Its totient is φ = 221921280.

The previous prime is 825909503. The next prime is 825909527. The reversal of 825909504 is 405909528.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (825909503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639099 + ... + 640389.

It is an arithmetic number, because the mean of its divisors is an integer number (12544028).

Almost surely, 2^825909504 is an apocalyptic number.

825909504 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 825909504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354755024).

825909504 is an abundant number, since it is smaller than the sum of its proper divisors (1883600544).

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

825909504 is a wasteful number, since it uses less digits than its factorization.

825909504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 825909504 is about 28738.6413040004. The cubic root of 825909504 is about 938.2332530487.

The spelling of 825909504 in words is "eight hundred twenty-five million, nine hundred nine thousand, five hundred four".