309969408 has 160 divisors (see below), whose sum is σ = 955367424. Its totient is φ = 87478272.

The previous prime is 309969383. The next prime is 309969419. The reversal of 309969408 is 804969903.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1365391 + ... + 1365617.

Almost surely, 2^309969408 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 309969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477683712).

309969408 is an abundant number, since it is smaller than the sum of its proper divisors (645398016).

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

309969408 is a wasteful number, since it uses less digits than its factorization.

309969408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 309969408 is about 17605.9480858033. The cubic root of 309969408 is about 676.7676817278.

It can be divided in two parts, 30996 and 9408, that added together give a palindrome (40404).

The spelling of 309969408 in words is "three hundred nine million, nine hundred sixty-nine thousand, four hundred eight".