1456488200 has 48 divisors (see below), whose sum is σ = 3397165380. Its totient is φ = 580732160.

The previous prime is 1456488181. The next prime is 1456488251. The reversal of 1456488200 is 28846541.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 226863844 + 1229624356 = 15062^2 + 35066^2 .

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, 51914 + ... + 74886.

Almost surely, 2^1456488200 is an apocalyptic number.

1456488200 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 1456488200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698582690).

1456488200 is an abundant number, since it is smaller than the sum of its proper divisors (1940677180).

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

1456488200 is a wasteful number, since it uses less digits than its factorization.

1456488200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23306 (or 23297 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 1456488200 is about 38163.9646787385. The cubic root of 1456488200 is about 1133.5368857763.

The spelling of 1456488200 in words is "one billion, four hundred fifty-six million, four hundred eighty-eight thousand, two hundred".