1456342900 has 36 divisors (see below), whose sum is σ = 3198357792. Its totient is φ = 575515360.

The previous prime is 1456342883. The next prime is 1456342931. The reversal of 1456342900 is 92436541.

It is a happy number.

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, 79432 + ... + 96031.

It is an arithmetic number, because the mean of its divisors is an integer number (88843272).

Almost surely, 2^1456342900 is an apocalyptic number.

1456342900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456342900 is an abundant number, since it is smaller than the sum of its proper divisors (1742014892).

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

1456342900 is a wasteful number, since it uses less digits than its factorization.

1456342900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175560 (or 175553 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 1456342900 is about 38162.0610030433. The cubic root of 1456342900 is about 1133.4991904516.

The spelling of 1456342900 in words is "one billion, four hundred fifty-six million, three hundred forty-two thousand, nine hundred".