1307449440 has 288 divisors, whose sum is σ = 4953312000. Its totient is φ = 311362560.

The previous prime is 1307449439. The next prime is 1307449487. The reversal of 1307449440 is 449447031.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1307449395 and 1307449404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 933861 + ... + 935259.

It is an arithmetic number, because the mean of its divisors is an integer number (17199000).

Almost surely, 2^1307449440 is an apocalyptic number.

1307449440 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 1307449440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656000).

1307449440 is an abundant number, since it is smaller than the sum of its proper divisors (3645862560).

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

1307449440 is a wasteful number, since it uses less digits than its factorization.

1307449440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1307449440 is about 36158.6703295351. The cubic root of 1307449440 is about 1093.4735972470.

The spelling of 1307449440 in words is "one billion, three hundred seven million, four hundred forty-nine thousand, four hundred forty".