1456413600 has 72 divisors (see below), whose sum is σ = 4740634080. Its totient is φ = 388376320.

The previous prime is 1456413599. The next prime is 1456413601. The reversal of 1456413600 is 63146541.

1456413600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1456413599) and next prime (1456413601).

It is a super-2 number, since 2×1456413600² = 4242281148529920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1456413601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301020 + ... + 305819.

It is an arithmetic number, because the mean of its divisors is an integer number (65842140).

Almost surely, 2^1456413600 is an apocalyptic number.

1456413600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456413600 is an abundant number, since it is smaller than the sum of its proper divisors (3284220480).

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

1456413600 is a wasteful number, since it uses less digits than its factorization.

1456413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606862 (or 606849 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1456413600 is about 38162.9873044551. The cubic root of 1456413600 is about 1133.5175325367.

The spelling of 1456413600 in words is "one billion, four hundred fifty-six million, four hundred thirteen thousand, six hundred".