307969920 has 192 divisors, whose sum is σ = 1074378240. Its totient is φ = 81285120.

The previous prime is 307969919. The next prime is 307969933. The reversal of 307969920 is 29969703.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731310 + ... + 731730.

It is an arithmetic number, because the mean of its divisors is an integer number (5595720).

Almost surely, 2^307969920 is an apocalyptic number.

307969920 is a gapful number since it is divisible by the number (30) 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 307969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537189120).

307969920 is an abundant number, since it is smaller than the sum of its proper divisors (766408320).

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

307969920 is a wasteful number, since it uses less digits than its factorization.

307969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 307969920 is about 17549.0717703245. The cubic root of 307969920 is about 675.3093561411.

The spelling of 307969920 in words is "three hundred seven million, nine hundred sixty-nine thousand, nine hundred twenty".