307504968 has 64 divisors (see below), whose sum is σ = 818424000. Its totient is φ = 96003072.

The previous prime is 307504943. The next prime is 307504969. The reversal of 307504968 is 869405703.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (307504969) 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, 36796 + ... + 44372.

It is an arithmetic number, because the mean of its divisors is an integer number (12787875).

Almost surely, 2^307504968 is an apocalyptic number.

307504968 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 307504968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409212000).

307504968 is an abundant number, since it is smaller than the sum of its proper divisors (510919032).

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

307504968 is a wasteful number, since it uses less digits than its factorization.

307504968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7694 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 307504968 is about 17535.8195702397. The cubic root of 307504968 is about 674.9693396224.

The spelling of 307504968 in words is "three hundred seven million, five hundred four thousand, nine hundred sixty-eight".