825493410 has 128 divisors (see below), whose sum is σ = 2602713600. Its totient is φ = 182165760.

The previous prime is 825493373. The next prime is 825493411. The reversal of 825493410 is 14394528.

825493410 is a `hidden beast` number, since 82 + 549 + 34 + 1 + 0 = 666.

825493410 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×825493410³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (825493411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47280 + ... + 62340.

It is an arithmetic number, because the mean of its divisors is an integer number (20333700).

Almost surely, 2^825493410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825493410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301356800).

825493410 is an abundant number, since it is smaller than the sum of its proper divisors (1777220190).

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

825493410 is a wasteful number, since it uses less digits than its factorization.

825493410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15113 (or 15107 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 825493410 is about 28731.4011144601. The cubic root of 825493410 is about 938.0756656440.

The spelling of 825493410 in words is "eight hundred twenty-five million, four hundred ninety-three thousand, four hundred ten".