1456455840 has 96 divisors (see below), whose sum is σ = 5243253120. Its totient is φ = 332903424.

The previous prime is 1456455829. The next prime is 1456455883. The reversal of 1456455840 is 485546541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1456455840² = 4242527227740211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1456455792 and 1456455801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213375 + ... + 220094.

It is an arithmetic number, because the mean of its divisors is an integer number (54617220).

Almost surely, 2^1456455840 is an apocalyptic number.

1456455840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456455840 is an abundant number, since it is smaller than the sum of its proper divisors (3786797280).

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

1456455840 is a wasteful number, since it uses less digits than its factorization.

1456455840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433494 (or 433486 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The square root of 1456455840 is about 38163.5407162386. The cubic root of 1456455840 is about 1133.5284908061.

The spelling of 1456455840 in words is "one billion, four hundred fifty-six million, four hundred fifty-five thousand, eight hundred forty".