84909474 has 48 divisors (see below), whose sum is σ = 199999800. Its totient is φ = 25878528.

The previous prime is 84909457. The next prime is 84909479. The reversal of 84909474 is 47490948.

84909474 is a `hidden beast` number, since 8 + 490 + 94 + 74 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62299449 + 22610025 = 7893^2 + 4755^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84909479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23842 + ... + 27170.

Almost surely, 2^84909474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84909474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99999900).

84909474 is an abundant number, since it is smaller than the sum of its proper divisors (115090326).

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

84909474 is a wasteful number, since it uses less digits than its factorization.

84909474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 84909474 is about 9214.6336877816. The cubic root of 84909474 is about 439.5268225931.

The spelling of 84909474 in words is "eighty-four million, nine hundred nine thousand, four hundred seventy-four".