825438240 has 432 divisors, whose sum is σ = 3251259648. Its totient is φ = 188928000.

The previous prime is 825438239. The next prime is 825438241. The reversal of 825438240 is 42834528.

It is an interprime number because it is at equal distance from previous prime (825438239) and next prime (825438241).

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 = 825438195 and 825438204.

It is not an unprimeable number, because it can be changed into a prime (825438241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20132620 + ... + 20132660.

It is an arithmetic number, because the mean of its divisors is an integer number (7526064).

Almost surely, 2^825438240 is an apocalyptic number.

825438240 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 825438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625629824).

825438240 is an abundant number, since it is smaller than the sum of its proper divisors (2425821408).

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

825438240 is a wasteful number, since it uses less digits than its factorization.

825438240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 825438240 is about 28730.4409990519. The cubic root of 825438240 is about 938.0547671176.

The spelling of 825438240 in words is "eight hundred twenty-five million, four hundred thirty-eight thousand, two hundred forty".