1307914416 has 30 divisors (see below), whose sum is σ = 3660344220. Its totient is φ = 435971424.

The previous prime is 1307914411. The next prime is 1307914423. The reversal of 1307914416 is 6144197031.

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 (1307914411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4541226 + ... + 4541513.

It is an arithmetic number, because the mean of its divisors is an integer number (122011474).

Almost surely, 2^1307914416 is an apocalyptic number.

1307914416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1307914416 is an abundant number, since it is smaller than the sum of its proper divisors (2352429804).

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

1307914416 is a wasteful number, since it uses less digits than its factorization.

1307914416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9082753 (or 9082744 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1307914416 is about 36165.0994191914. The cubic root of 1307914416 is about 1093.6032080507.

It can be divided in two parts, 13079 and 14416, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 1307914416 in words is "one billion, three hundred seven million, nine hundred fourteen thousand, four hundred sixteen".