1304919720 has 384 divisors, whose sum is σ = 4953312000. Its totient is φ = 306561024.

The previous prime is 1304919701. The next prime is 1304919739. The reversal of 1304919720 is 279194031.

It is an interprime number because it is at equal distance from previous prime (1304919701) and next prime (1304919739).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 2906056 + ... + 2906504.

It is an arithmetic number, because the mean of its divisors is an integer number (12899250).

Almost surely, 2^1304919720 is an apocalyptic number.

1304919720 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 1304919720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656000).

1304919720 is an abundant number, since it is smaller than the sum of its proper divisors (3648392280).

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

1304919720 is a wasteful number, since it uses less digits than its factorization.

1304919720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1304919720 is about 36123.6725707672. The cubic root of 1304919720 is about 1092.7679057140.

The spelling of 1304919720 in words is "one billion, three hundred four million, nine hundred nineteen thousand, seven hundred twenty".