1456401 has 8 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 959072.

The previous prime is 1456393. The next prime is 1456417. The reversal of 1456401 is 1046541.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1456401 - 2³ = 1456393 is a prime.

It is a super-2 number, since 2×1456401² = 4242207745602, which contains 22 as substring.

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1456451) 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, 2676 + ... + 3173.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

2^1456401 is an apocalyptic number.

It is an amenable number.

1456401 is a deficient number, since it is larger than the sum of its proper divisors (509199).

1456401 is an equidigital number, since it uses as much as digits as its factorization.

1456401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1456401 is about 1206.8144016376. The cubic root of 1456401 is about 113.3514263694.

The spelling of 1456401 in words is "one million, four hundred fifty-six thousand, four hundred one".