1456456420 has 12 divisors (see below), whose sum is σ = 3058558524. Its totient is φ = 582582560.

The previous prime is 1456456399. The next prime is 1456456429. The reversal of 1456456420 is 246546541.

It can be written as a sum of positive squares in 2 ways, for example, as 593507044 + 862949376 = 24362^2 + 29376^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1456456420.

It is not an unprimeable number, because it can be changed into a prime (1456456429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36411391 + ... + 36411430.

It is an arithmetic number, because the mean of its divisors is an integer number (254879877).

Almost surely, 2^1456456420 is an apocalyptic number.

1456456420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456456420 is an abundant number, since it is smaller than the sum of its proper divisors (1602102104).

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

1456456420 is a wasteful number, since it uses less digits than its factorization.

1456456420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72822830 (or 72822828 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The square root of 1456456420 is about 38163.5483151135. The cubic root of 1456456420 is about 1133.5286412733.

The spelling of 1456456420 in words is "one billion, four hundred fifty-six million, four hundred fifty-six thousand, four hundred twenty".