84252456 has 24 divisors (see below), whose sum is σ = 228183930. Its totient is φ = 28084128.

The previous prime is 84252449. The next prime is 84252463. The reversal of 84252456 is 65425248.

It is a happy number.

84252456 is a `hidden beast` number, since 84 + 2 + 524 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (84252449) and next prime (84252463).

It can be written as a sum of positive squares in only one way, i.e., 55800900 + 28451556 = 7470^2 + 5334^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 84252456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 585015 + ... + 585158.

Almost surely, 2^84252456 is an apocalyptic number.

It is an amenable number.

84252456 is an abundant number, since it is smaller than the sum of its proper divisors (143931474).

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

84252456 is a wasteful number, since it uses less digits than its factorization.

84252456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170185 (or 1170178 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 84252456 is about 9178.9136612129. The cubic root of 84252456 is about 438.3902195813.

The spelling of 84252456 in words is "eighty-four million, two hundred fifty-two thousand, four hundred fifty-six".