456729 has 24 divisors (see below), whose sum is σ = 766080. Its totient is φ = 239904.

The previous prime is 456727. The next prime is 456737. The reversal of 456729 is 927654.

456729 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 456729 - 2¹ = 456727 is a prime.

It is an alternating number because its digits alternate between even and odd.

456729 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 456729.

It is not an unprimeable number, because it can be changed into a prime (456727) 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, 1792 + ... + 2030.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

2⁴⁵⁶⁷²⁹ is an apocalyptic number.

456729 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

456729 is a deficient number, since it is larger than the sum of its proper divisors (309351).

456729 is a wasteful number, since it uses less digits than its factorization.

456729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 262 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 456729 is about 675.8172829989. The cubic root of 456729 is about 77.0110177072.

The spelling of 456729 in words is "four hundred fifty-six thousand, seven hundred twenty-nine".