305025864 has 256 divisors, whose sum is σ = 959938560. Its totient is φ = 79488000.

The previous prime is 305025821. The next prime is 305025881. The reversal of 305025864 is 468520503.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 5000394 + ... + 5000454.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^305025864 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 305025864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

305025864 is an abundant number, since it is smaller than the sum of its proper divisors (654912696).

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

305025864 is a wasteful number, since it uses less digits than its factorization.

305025864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 305025864 is about 17464.9896650413. The cubic root of 305025864 is about 673.1505763739.

The spelling of 305025864 in words is "three hundred five million, twenty-five thousand, eight hundred sixty-four".