1309792416 has 48 divisors (see below), whose sum is σ = 3440138688. Its totient is φ = 436352000.

The previous prime is 1309792411. The next prime is 1309792433. The reversal of 1309792416 is 6142979031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1309792416² = 3431112346022234112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1309792411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266461 + ... + 271331.

It is an arithmetic number, because the mean of its divisors is an integer number (71669556).

Almost surely, 2^1309792416 is an apocalyptic number.

1309792416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1309792416 is an abundant number, since it is smaller than the sum of its proper divisors (2130346272).

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

1309792416 is a wasteful number, since it uses less digits than its factorization.

1309792416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7685 (or 7677 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 1309792416 is about 36191.0543643039. The cubic root of 1309792416 is about 1094.1263831123.

The spelling of 1309792416 in words is "one billion, three hundred nine million, seven hundred ninety-two thousand, four hundred sixteen".