825306400 has 36 divisors (see below), whose sum is σ = 2014781202. Its totient is φ = 330122240.

The previous prime is 825306373. The next prime is 825306409. The reversal of 825306400 is 4603528.

It can be written as a sum of positive squares in 3 ways, for example, as 608510224 + 216796176 = 24668^2 + 14724^2 .

It is a super-2 number, since 2×825306400² = 1362261307761920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (825306409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 515017 + ... + 516616.

Almost surely, 2^825306400 is an apocalyptic number.

825306400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825306400 is an abundant number, since it is smaller than the sum of its proper divisors (1189474802).

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

825306400 is a wasteful number, since it uses less digits than its factorization.

825306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031653 (or 1031640 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 825306400 is about 28728.1464769309. The cubic root of 825306400 is about 938.0048220422.

Adding to 825306400 its reverse (4603528), we get a palindrome (829909928).

The spelling of 825306400 in words is "eight hundred twenty-five million, three hundred six thousand, four hundred".