1307424960 has 168 divisors, whose sum is σ = 4733879280. Its totient is φ = 330283008.

The previous prime is 1307424959. The next prime is 1307425057. The reversal of 1307424960 is 694247031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42774 + ... + 66666.

Almost surely, 2^1307424960 is an apocalyptic number.

1307424960 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 1307424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366939640).

1307424960 is an abundant number, since it is smaller than the sum of its proper divisors (3426454320).

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

1307424960 is a wasteful number, since it uses less digits than its factorization.

1307424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23935 (or 23922 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1307424960 is about 36158.3318199278. The cubic root of 1307424960 is about 1093.4667726617.

The spelling of 1307424960 in words is "one billion, three hundred seven million, four hundred twenty-four thousand, nine hundred sixty".