309900816 has 105 divisors (see below), whose sum is σ = 905794239. Its totient is φ = 102666528.

The previous prime is 309900809. The next prime is 309900817. The reversal of 309900816 is 618009903.

The square root of 309900816 is 17604.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (309900817) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1901151 + ... + 1901313.

Almost surely, 2^309900816 is an apocalyptic number.

309900816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

309900816 is the 17604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309900816

309900816 is an abundant number, since it is smaller than the sum of its proper divisors (595893423).

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

309900816 is an frugal number, since it uses more digits than its factorization.

309900816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 309900816 is about 676.7177582277.

Multiplying 309900816 by its sum of digits (36), we get a square (11156429376 = 105624²).

309900816 divided by its sum of digits (36) gives a square (8608356 = 2934²).

Multiplying 309900816 by its product of nonzero digits (11664), we get a square (3614683117824 = 1901232²).

309900816 divided by its product of nonzero digits (11664) gives a square (26569 = 163²).

The spelling of 309900816 in words is "three hundred nine million, nine hundred thousand, eight hundred sixteen".