1304912000 has 256 divisors, whose sum is σ = 3788328960. Its totient is φ = 437760000.

The previous prime is 1304911999. The next prime is 1304912009. The reversal of 1304912000 is 2194031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1304912009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6831905 + ... + 6832095.

It is an arithmetic number, because the mean of its divisors is an integer number (14798160).

Almost surely, 2^1304912000 is an apocalyptic number.

1304912000 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 1304912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894164480).

1304912000 is an abundant number, since it is smaller than the sum of its proper divisors (2483416960).

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

1304912000 is an equidigital number, since it uses as much as digits as its factorization.

1304912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1304912000 is about 36123.5657154717. The cubic root of 1304912000 is about 1092.7657507450.

The spelling of 1304912000 in words is "one billion, three hundred four million, nine hundred twelve thousand".