456789172 has 72 divisors (see below), whose sum is σ = 964456416. Its totient is φ = 188620992.

The previous prime is 456789143. The next prime is 456789173. The reversal of 456789172 is 271987654.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456789173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699198 + ... + 699850.

It is an arithmetic number, because the mean of its divisors is an integer number (13395228).

Almost surely, 2^456789172 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 456789172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482228208).

456789172 is an abundant number, since it is smaller than the sum of its proper divisors (507667244).

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

456789172 is a wasteful number, since it uses less digits than its factorization.

456789172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 788 counting only the distinct ones).

The product of its digits is 846720, while the sum is 49.

The square root of 456789172 is about 21372.6266986536. The cubic root of 456789172 is about 770.1439951088.

It can be divided in two parts, 4567 and 89172, that added together give a palindrome (93739).

The spelling of 456789172 in words is "four hundred fifty-six million, seven hundred eighty-nine thousand, one hundred seventy-two".