1334256400 has 60 divisors (see below), whose sum is σ = 3216094132. Its totient is φ = 531947520.

The previous prime is 1334256379. The next prime is 1334256401. The reversal of 1334256400 is 46524331.

It can be written as a sum of positive squares in 6 ways, for example, as 647397136 + 686859264 = 25444^2 + 26208^2 .

It is not an unprimeable number, because it can be changed into a prime (1334256401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119872 + ... + 130528.

Almost surely, 2^1334256400 is an apocalyptic number.

1334256400 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 1334256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608047066).

1334256400 is an abundant number, since it is smaller than the sum of its proper divisors (1881837732).

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

1334256400 is a wasteful number, since it uses less digits than its factorization.

1334256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10988 (or 10977 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 1334256400 is about 36527.4745910527. The cubic root of 1334256400 is about 1100.8963492896.

The spelling of 1334256400 in words is "one billion, three hundred thirty-four million, two hundred fifty-six thousand, four hundred".