307090464 has 96 divisors (see below), whose sum is σ = 876072960. Its totient is φ = 93830400.

The previous prime is 307090447. The next prime is 307090471. The reversal of 307090464 is 464090703.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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, 53829 + ... + 59259.

It is an arithmetic number, because the mean of its divisors is an integer number (9125760).

Almost surely, 2^307090464 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 307090464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438036480).

307090464 is an abundant number, since it is smaller than the sum of its proper divisors (568982496).

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

307090464 is a wasteful number, since it uses less digits than its factorization.

307090464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494 (or 5486 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 307090464 is about 17523.9968043823. The cubic root of 307090464 is about 674.6659263186.

The spelling of 307090464 in words is "three hundred seven million, ninety thousand, four hundred sixty-four".