95304000456 has 384 divisors, whose sum is σ = 322924492800. Its totient is φ = 24784911360.

The previous prime is 95304000433. The next prime is 95304000479. The reversal of 95304000456 is 65400040359.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (95304000433) and next prime (95304000479).

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 95304000456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26303461 + ... + 26307083.

It is an arithmetic number, because the mean of its divisors is an integer number (840949200).

Almost surely, 2^95304000456 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 95304000456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161462246400).

95304000456 is an abundant number, since it is smaller than the sum of its proper divisors (227620492344).

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

95304000456 is a wasteful number, since it uses less digits than its factorization.

95304000456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 95304000456 in words is "ninety-five billion, three hundred four million, four hundred fifty-six", and thus it is an aban number.