1304400210 has 64 divisors (see below), whose sum is σ = 3191045760. Its totient is φ = 341153280.

The previous prime is 1304400203. The next prime is 1304400221. The reversal of 1304400210 is 120044031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1304400210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809886 + ... + 811494.

It is an arithmetic number, because the mean of its divisors is an integer number (49860090).

Almost surely, 2^1304400210 is an apocalyptic number.

1304400210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304400210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595522880).

1304400210 is an abundant number, since it is smaller than the sum of its proper divisors (1886645550).

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

1304400210 is a wasteful number, since it uses less digits than its factorization.

1304400210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1304400210 is about 36116.4811408864. The cubic root of 1304400210 is about 1092.6228701740.

Adding to 1304400210 its reverse (120044031), we get a palindrome (1424444241).

The spelling of 1304400210 in words is "one billion, three hundred four million, four hundred thousand, two hundred ten".