1456464500 has 24 divisors (see below), whose sum is σ = 3180919560. Its totient is φ = 582585600.

The previous prime is 1456464497. The next prime is 1456464509. The reversal of 1456464500 is 54646541.

It can be written as a sum of positive squares in 4 ways, for example, as 32307856 + 1424156644 = 5684^2 + 37738^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456464509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1455965 + ... + 1456964.

It is an arithmetic number, because the mean of its divisors is an integer number (132538315).

Almost surely, 2^1456464500 is an apocalyptic number.

1456464500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456464500 is an abundant number, since it is smaller than the sum of its proper divisors (1724455060).

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

1456464500 is a wasteful number, since it uses less digits than its factorization.

1456464500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912948 (or 2912936 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 1456464500 is about 38163.6541751442. The cubic root of 1456464500 is about 1133.5307374327.

The spelling of 1456464500 in words is "one billion, four hundred fifty-six million, four hundred sixty-four thousand, five hundred".