302412968 has 64 divisors (see below), whose sum is σ = 701265600. Its totient is φ = 120199680.

The previous prime is 302412961. The next prime is 302412989. The reversal of 302412968 is 869214203.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (302412961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14780 + ... + 28692.

It is an arithmetic number, because the mean of its divisors is an integer number (10957275).

Almost surely, 2^302412968 is an apocalyptic number.

302412968 is a gapful number since it is divisible by the number (38) 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 302412968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350632800).

302412968 is an abundant number, since it is smaller than the sum of its proper divisors (398852632).

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

302412968 is a wasteful number, since it uses less digits than its factorization.

302412968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13962 (or 13958 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 302412968 is about 17390.0249568539. The cubic root of 302412968 is about 671.2229597930. Note that the first 3 decimals are identical.

The spelling of 302412968 in words is "three hundred two million, four hundred twelve thousand, nine hundred sixty-eight".