825517440 has 512 divisors, whose sum is σ = 3295987200. Its totient is φ = 193536000.

The previous prime is 825517423. The next prime is 825517463. The reversal of 825517440 is 44715528.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 825517395 and 825517404.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8173390 + ... + 8173490.

It is an arithmetic number, because the mean of its divisors is an integer number (6437475).

Almost surely, 2^825517440 is an apocalyptic number.

825517440 is a gapful number since it is divisible by the number (80) 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 825517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647993600).

825517440 is an abundant number, since it is smaller than the sum of its proper divisors (2470469760).

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

825517440 is a wasteful number, since it uses less digits than its factorization.

825517440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 825517440 is about 28731.8192949907. The cubic root of 825517440 is about 938.0847679737.

The spelling of 825517440 in words is "eight hundred twenty-five million, five hundred seventeen thousand, four hundred forty".