1456164 has 48 divisors (see below), whose sum is σ = 3841600. Its totient is φ = 476928.

The previous prime is 1456159. The next prime is 1456171. The reversal of 1456164 is 4616541.

1456164 is a `hidden beast` number, since 1 + 45 + 616 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

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, 10407 + ... + 10545.

2^1456164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920800).

1456164 is an abundant number, since it is smaller than the sum of its proper divisors (2385436).

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

1456164 is a wasteful number, since it uses less digits than its factorization.

1456164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1456164 is about 1206.7162052446. The cubic root of 1456164 is about 113.3452774801.

The spelling of 1456164 in words is "one million, four hundred fifty-six thousand, one hundred sixty-four".