305997952 has 64 divisors (see below), whose sum is σ = 659736000. Its totient is φ = 140534784.

The previous prime is 305997929. The next prime is 305997961. The reversal of 305997952 is 259799503.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 305997896 and 305997905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510549 + ... + 511147.

It is an arithmetic number, because the mean of its divisors is an integer number (10308375).

Almost surely, 2^305997952 is an apocalyptic number.

305997952 is a gapful number since it is divisible by the number (32) 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 305997952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329868000).

305997952 is an abundant number, since it is smaller than the sum of its proper divisors (353738048).

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

305997952 is a wasteful number, since it uses less digits than its factorization.

305997952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 765450, while the sum is 49.

The square root of 305997952 is about 17492.7971462542. The cubic root of 305997952 is about 673.8649067238.

The spelling of 305997952 in words is "three hundred five million, nine hundred ninety-seven thousand, nine hundred fifty-two".