305242248960 has 1152 divisors, whose sum is σ = 1243275264000. Its totient is φ = 70236979200.

The previous prime is 305242248959. The next prime is 305242248977. The reversal of 305242248960 is 69842242503.

305242248960 is a `hidden beast` number, since 3 + 0 + 524 + 22 + 48 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 695312421 + ... + 695312859.

It is an arithmetic number, because the mean of its divisors is an integer number (1079232000).

Almost surely, 2^305242248960 is an apocalyptic number.

305242248960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305242248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621637632000).

305242248960 is an abundant number, since it is smaller than the sum of its proper divisors (938033015040).

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

305242248960 is a wasteful number, since it uses less digits than its factorization.

305242248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 305242248960 in words is "three hundred five billion, two hundred forty-two million, two hundred forty-eight thousand, nine hundred sixty".