456001420 has 24 divisors (see below), whose sum is σ = 1094403744. Its totient is φ = 156343296.

The previous prime is 456001409. The next prime is 456001439. The reversal of 456001420 is 24100654.

It is a junction number, because it is equal to n+sod(n) for n = 456001391 and 456001400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1628437 + ... + 1628716.

It is an arithmetic number, because the mean of its divisors is an integer number (45600156).

Almost surely, 2^456001420 is an apocalyptic number.

It is an amenable number.

456001420 is an abundant number, since it is smaller than the sum of its proper divisors (638402324).

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

456001420 is a wasteful number, since it uses less digits than its factorization.

456001420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257169 (or 3257167 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 456001420 is about 21354.1897528330. The cubic root of 456001420 is about 769.7010252124.

The spelling of 456001420 in words is "four hundred fifty-six million, one thousand, four hundred twenty".