456144429 has 16 divisors (see below), whose sum is σ = 658772352. Its totient is φ = 279077568.

The previous prime is 456144427. The next prime is 456144463. The reversal of 456144429 is 924441654.

It is not a de Polignac number, because 456144429 - 2¹ = 456144427 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456144427) 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, 27057 + ... + 40550.

It is an arithmetic number, because the mean of its divisors is an integer number (41173272).

Almost surely, 2^456144429 is an apocalyptic number.

It is an amenable number.

456144429 is a deficient number, since it is larger than the sum of its proper divisors (202627923).

456144429 is a wasteful number, since it uses less digits than its factorization.

456144429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67796.

The product of its digits is 138240, while the sum is 39.

The square root of 456144429 is about 21357.5379901336. The cubic root of 456144429 is about 769.7814801292.

The spelling of 456144429 in words is "four hundred fifty-six million, one hundred forty-four thousand, four hundred twenty-nine".