1304284080 has 160 divisors (see below), whose sum is σ = 4553422848. Its totient is φ = 305971200.

The previous prime is 1304284067. The next prime is 1304284099. The reversal of 1304284080 is 804824031.

It is a super-2 number, since 2×1304284080² = 3402313922682892800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 73872 + ... + 89808.

Almost surely, 2^1304284080 is an apocalyptic number.

1304284080 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 1304284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276711424).

1304284080 is an abundant number, since it is smaller than the sum of its proper divisors (3249138768).

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

1304284080 is a wasteful number, since it uses less digits than its factorization.

1304284080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15995 (or 15989 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1304284080 is about 36114.8733903360. The cubic root of 1304284080 is about 1092.5904440166.

The spelling of 1304284080 in words is "one billion, three hundred four million, two hundred eighty-four thousand, eighty".