825105408 has 88 divisors (see below), whose sum is σ = 2208500112. Its totient is φ = 273874944.

The previous prime is 825105389. The next prime is 825105409. The reversal of 825105408 is 804501528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825105409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1034866 + ... + 1035662.

Almost surely, 2^825105408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104250056).

825105408 is an abundant number, since it is smaller than the sum of its proper divisors (1383394704).

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

825105408 is a wasteful number, since it uses less digits than its factorization.

825105408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 825105408 is about 28724.6480918392. The cubic root of 825105408 is about 937.9286698107.

The spelling of 825105408 in words is "eight hundred twenty-five million, one hundred five thousand, four hundred eight".