420624829 has 16 divisors (see below), whose sum is σ = 454095936. Its totient is φ = 388166400.

The previous prime is 420624821. The next prime is 420624859. The reversal of 420624829 is 928426024.

It is a cyclic number.

It is not a de Polignac number, because 420624829 - 2³ = 420624821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420624821) 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, 608374 + ... + 609064.

It is an arithmetic number, because the mean of its divisors is an integer number (28380996).

Almost surely, 2^420624829 is an apocalyptic number.

It is an amenable number.

420624829 is a deficient number, since it is larger than the sum of its proper divisors (33471107).

420624829 is a wasteful number, since it uses less digits than its factorization.

420624829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356.

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 420624829 is about 20509.1401331211. The cubic root of 420624829 is about 749.2584249228.

The spelling of 420624829 in words is "four hundred twenty million, six hundred twenty-four thousand, eight hundred twenty-nine".