1301790400 has 84 divisors (see below), whose sum is σ = 3222418752. Its totient is φ = 517596160.

The previous prime is 1301790389. The next prime is 1301790431. The reversal of 1301790400 is 40971031.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 274449 + ... + 279151.

It is an arithmetic number, because the mean of its divisors is an integer number (38362128).

Almost surely, 2^1301790400 is an apocalyptic number.

1301790400 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 1301790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611209376).

1301790400 is an abundant number, since it is smaller than the sum of its proper divisors (1920628352).

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

1301790400 is a wasteful number, since it uses less digits than its factorization.

1301790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 1301790400 is about 36080.3325927021. The cubic root of 1301790400 is about 1091.8936865107.

The spelling of 1301790400 in words is "one billion, three hundred one million, seven hundred ninety thousand, four hundred".