456782401 has 16 divisors (see below), whose sum is σ = 509967360. Its totient is φ = 406598400.

The previous prime is 456782383. The next prime is 456782429. The reversal of 456782401 is 104287654.

It is a cyclic number.

It is not a de Polignac number, because 456782401 - 2¹³ = 456774209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456782471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350451 + ... + 351751.

It is an arithmetic number, because the mean of its divisors is an integer number (31872960).

Almost surely, 2^456782401 is an apocalyptic number.

It is an amenable number.

456782401 is a deficient number, since it is larger than the sum of its proper divisors (53184959).

456782401 is a wasteful number, since it uses less digits than its factorization.

456782401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424.

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 456782401 is about 21372.4682945139. The cubic root of 456782401 is about 770.1401898006.

It can be divided in two parts, 4567 and 82401, that added together give a palindrome (86968).

The spelling of 456782401 in words is "four hundred fifty-six million, seven hundred eighty-two thousand, four hundred one".