1304252400 has 120 divisors (see below), whose sum is σ = 4557815424. Its totient is φ = 316179200.

The previous prime is 1304252399. The next prime is 1304252413. The reversal of 1304252400 is 42524031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36204 + ... + 62603.

Almost surely, 2^1304252400 is an apocalyptic number.

1304252400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304252400 is an abundant number, since it is smaller than the sum of its proper divisors (3253563024).

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

1304252400 is a wasteful number, since it uses less digits than its factorization.

1304252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98839 (or 98828 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1304252400 is about 36114.4347872149. The cubic root of 1304252400 is about 1092.5815979004.

Adding to 1304252400 its reverse (42524031), we get a palindrome (1346776431).

The spelling of 1304252400 in words is "one billion, three hundred four million, two hundred fifty-two thousand, four hundred".