825384960 has 168 divisors, whose sum is σ = 2862437760. Its totient is φ = 220004352.

The previous prime is 825384943. The next prime is 825384977. The reversal of 825384960 is 69483528.

It is an interprime number because it is at equal distance from previous prime (825384943) and next prime (825384977).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367521 + ... + 369759.

It is an arithmetic number, because the mean of its divisors is an integer number (17038320).

Almost surely, 2^825384960 is an apocalyptic number.

825384960 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 825384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431218880).

825384960 is an abundant number, since it is smaller than the sum of its proper divisors (2037052800).

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

825384960 is a wasteful number, since it uses less digits than its factorization.

825384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 825384960 is about 28729.5137445798. The cubic root of 825384960 is about 938.0345836437.

The spelling of 825384960 in words is "eight hundred twenty-five million, three hundred eighty-four thousand, nine hundred sixty".