420724771 has 16 divisors (see below), whose sum is σ = 459613440. Its totient is φ = 383775840.

The previous prime is 420724741. The next prime is 420724813. The reversal of 420724771 is 177427024.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 420724771 - 2¹⁵ = 420692003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420724741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54381 + ... + 61633.

It is an arithmetic number, because the mean of its divisors is an integer number (28725840).

Almost surely, 2^420724771 is an apocalyptic number.

420724771 is a deficient number, since it is larger than the sum of its proper divisors (38888669).

420724771 is a wasteful number, since it uses less digits than its factorization.

420724771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7386.

The product of its (nonzero) digits is 21952, while the sum is 34.

The square root of 420724771 is about 20511.5765118140. The cubic root of 420724771 is about 749.3177624055.

The spelling of 420724771 in words is "four hundred twenty million, seven hundred twenty-four thousand, seven hundred seventy-one".