309010464 has 216 divisors, whose sum is σ = 1061384688. Its totient is φ = 88179840.

The previous prime is 309010463. The next prime is 309010469. The reversal of 309010464 is 464010903.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×309010464² = 190974933722990592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (309010463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380619 + ... + 381429.

It is an arithmetic number, because the mean of its divisors is an integer number (4913818).

Almost surely, 2^309010464 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 309010464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530692344).

309010464 is an abundant number, since it is smaller than the sum of its proper divisors (752374224).

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

309010464 is an equidigital number, since it uses as much as digits as its factorization.

309010464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 309010464 is about 17578.6934668080. The cubic root of 309010464 is about 676.0690614877.

The spelling of 309010464 in words is "three hundred nine million, ten thousand, four hundred sixty-four".