825402240 has 384 divisors, whose sum is σ = 3132118080. Its totient is φ = 199065600.

The previous prime is 825402229. The next prime is 825402251. The reversal of 825402240 is 42204528.

It is a happy number.

825402240 is a `hidden beast` number, since 82 + 540 + 2 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (825402229) and next prime (825402251).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 5466165 + ... + 5466315.

Almost surely, 2^825402240 is an apocalyptic number.

825402240 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 825402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566059040).

825402240 is an abundant number, since it is smaller than the sum of its proper divisors (2306715840).

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

825402240 is a wasteful number, since it uses less digits than its factorization.

825402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 825402240 is about 28729.8144790390. The cubic root of 825402240 is about 938.0411297304.

Adding to 825402240 its reverse (42204528), we get a palindrome (867606768).

The spelling of 825402240 in words is "eight hundred twenty-five million, four hundred two thousand, two hundred forty".