827024450 has 90 divisors (see below), whose sum is σ = 1816417689. Its totient is φ = 280134960.

The previous prime is 827024447. The next prime is 827024453. The reversal of 827024450 is 54420728.

It is an interprime number because it is at equal distance from previous prime (827024447) and next prime (827024453).

It can be written as a sum of positive squares in 2 ways, for example, as 810483961 + 16540489 = 28469^2 + 4067^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20335.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (827024453) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9964109 + ... + 9964191.

Almost surely, 2^827024450 is an apocalyptic number.

827024450 is an abundant number, since it is smaller than the sum of its proper divisors (989393239).

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

827024450 is an frugal number, since it uses more digits than its factorization.

827024450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 827024450 is about 28758.0327908569. The cubic root of 827024450 is about 938.6552561204.

Multiplying 827024450 by its sum of digits (32), we get a square (26464782400 = 162680²).

The spelling of 827024450 in words is "eight hundred twenty-seven million, twenty-four thousand, four hundred fifty".