1314854400 has 240 divisors, whose sum is σ = 4400749584. Its totient is φ = 346030080.

The previous prime is 1314854389. The next prime is 1314854407. The reversal of 1314854400 is 44584131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314854407) 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 23 ways as a sum of consecutive naturals, for example, 3724624 + ... + 3724976.

Almost surely, 2^1314854400 is an apocalyptic number.

1314854400 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 1314854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200374792).

1314854400 is an abundant number, since it is smaller than the sum of its proper divisors (3085895184).

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

1314854400 is an equidigital number, since it uses as much as digits as its factorization.

1314854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1314854400 is about 36260.9211135073. The cubic root of 1314854400 is about 1095.5340694499.

The spelling of 1314854400 in words is "one billion, three hundred fourteen million, eight hundred fifty-four thousand, four hundred".