1314904080 has 320 divisors, whose sum is σ = 4878973440. Its totient is φ = 286605312.

The previous prime is 1314904079. The next prime is 1314904099. The reversal of 1314904080 is 804094131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6674542 + ... + 6674738.

It is an arithmetic number, because the mean of its divisors is an integer number (15246792).

Almost surely, 2^1314904080 is an apocalyptic number.

1314904080 is a gapful number since it is divisible by the number (10) 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 1314904080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439486720).

1314904080 is an abundant number, since it is smaller than the sum of its proper divisors (3564069360).

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

1314904080 is a wasteful number, since it uses less digits than its factorization.

1314904080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1314904080 is about 36261.6061420340. The cubic root of 1314904080 is about 1095.5478670352.

The spelling of 1314904080 in words is "one billion, three hundred fourteen million, nine hundred four thousand, eighty".