1314791904 has 96 divisors (see below), whose sum is σ = 3523129344. Its totient is φ = 429235200.

The previous prime is 1314791903. The next prime is 1314791921. The reversal of 1314791904 is 4091974131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314791903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1141729 + ... + 1142879.

It is an arithmetic number, because the mean of its divisors is an integer number (36699264).

Almost surely, 2^1314791904 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 1314791904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761564672).

1314791904 is an abundant number, since it is smaller than the sum of its proper divisors (2208337440).

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

1314791904 is a wasteful number, since it uses less digits than its factorization.

1314791904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 1314791904 is about 36260.0593490965. The cubic root of 1314791904 is about 1095.5167119940.

The spelling of 1314791904 in words is "one billion, three hundred fourteen million, seven hundred ninety-one thousand, nine hundred four".