1307616480 has 384 divisors, whose sum is σ = 4898880000. Its totient is φ = 324808704.

The previous prime is 1307616413. The next prime is 1307616491. The reversal of 1307616480 is 846167031.

1307616480 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 6 + 1 + 648 + 0 = 666.

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

It is a congruent number.

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, 7305031 + ... + 7305209.

It is an arithmetic number, because the mean of its divisors is an integer number (12757500).

Almost surely, 2^1307616480 is an apocalyptic number.

1307616480 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 1307616480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449440000).

1307616480 is an abundant number, since it is smaller than the sum of its proper divisors (3591263520).

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

1307616480 is a wasteful number, since it uses less digits than its factorization.

1307616480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1307616480 is about 36160.9800752137. The cubic root of 1307616480 is about 1093.5201627319.

The spelling of 1307616480 in words is "one billion, three hundred seven million, six hundred sixteen thousand, four hundred eighty".