1304294400 has 660 divisors, whose sum is σ = 5251955148. Its totient is φ = 318504960.

The previous prime is 1304294393. The next prime is 1304294429. The reversal of 1304294400 is 44924031.

1304294400 is a `hidden beast` number, since 130 + 42 + 94 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 69755904 + 1234538496 = 8352^2 + 35136^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35251182 + ... + 35251218.

Almost surely, 2^1304294400 is an apocalyptic number.

1304294400 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 1304294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625977574).

1304294400 is an abundant number, since it is smaller than the sum of its proper divisors (3947660748).

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

1304294400 is a wasteful number, since it uses less digits than its factorization.

1304294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1304294400 is about 36115.0162674752. The cubic root of 1304294400 is about 1092.5933256750.

The spelling of 1304294400 in words is "one billion, three hundred four million, two hundred ninety-four thousand, four hundred".