1455996800 has 96 divisors (see below), whose sum is σ = 3656220600. Its totient is φ = 572774400.

The previous prime is 1455996799. The next prime is 1455996827. The reversal of 1455996800 is 86995541.

It is a happy number.

It is a super-2 number, since 2×1455996800² = 4239853363220480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191471 + ... + 198929.

Almost surely, 2^1455996800 is an apocalyptic number.

1455996800 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 1455996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828110300).

1455996800 is an abundant number, since it is smaller than the sum of its proper divisors (2200223800).

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

1455996800 is an equidigital number, since it uses as much as digits as its factorization.

1455996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 47.

The square root of 1455996800 is about 38157.5261252613. The cubic root of 1455996800 is about 1133.4093912816.

The spelling of 1455996800 in words is "one billion, four hundred fifty-five million, nine hundred ninety-six thousand, eight hundred".