1304980416 has 112 divisors (see below), whose sum is σ = 3909060000. Its totient is φ = 426756096.

The previous prime is 1304980399. The next prime is 1304980421. The reversal of 1304980416 is 6140894031.

It is a super-2 number, since 2×1304980416² = 3405947772287066112, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 84460 + ... + 98708.

Almost surely, 2^1304980416 is an apocalyptic number.

1304980416 is a gapful number since it is divisible by the number (16) 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 1304980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954530000).

1304980416 is an abundant number, since it is smaller than the sum of its proper divisors (2604079584).

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

1304980416 is a wasteful number, since it uses less digits than its factorization.

1304980416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14323 (or 14307 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1304980416 is about 36124.5126749137. The cubic root of 1304980416 is about 1092.7848481643.

The spelling of 1304980416 in words is "one billion, three hundred four million, nine hundred eighty thousand, four hundred sixteen".