1334486400 has 576 divisors, whose sum is σ = 5164304880. Its totient is φ = 300810240.

The previous prime is 1334486371. The next prime is 1334486441. The reversal of 1334486400 is 46844331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 36067182 + ... + 36067218.

Almost surely, 2^1334486400 is an apocalyptic number.

1334486400 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 1334486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582152440).

1334486400 is an abundant number, since it is smaller than the sum of its proper divisors (3829818480).

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

1334486400 is a wasteful number, since it uses less digits than its factorization.

1334486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 1334486400 is about 36530.6227704922. The cubic root of 1334486400 is about 1100.9596034018.

The spelling of 1334486400 in words is "one billion, three hundred thirty-four million, four hundred eighty-six thousand, four hundred".