825450990 has 128 divisors (see below), whose sum is σ = 2451520512. Its totient is φ = 173214720.

The previous prime is 825450973. The next prime is 825451021. The reversal of 825450990 is 99054528.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 575314 + ... + 576746.

It is an arithmetic number, because the mean of its divisors is an integer number (19152504).

Almost surely, 2^825450990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825450990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225760256).

825450990 is an abundant number, since it is smaller than the sum of its proper divisors (1626069522).

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

825450990 is a wasteful number, since it uses less digits than its factorization.

825450990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674.

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 825450990 is about 28730.6628882802. The cubic root of 825450990 is about 938.0595969305.

The spelling of 825450990 in words is "eight hundred twenty-five million, four hundred fifty thousand, nine hundred ninety".