420661413 has 36 divisors (see below), whose sum is σ = 665020044. Its totient is φ = 255340800.

The previous prime is 420661369. The next prime is 420661427. The reversal of 420661413 is 314166024.

420661413 is a `hidden beast` number, since 42 + 0 + 6 + 614 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 283349889 + 137311524 = 16833^2 + 11718^2 .

It is not a de Polignac number, because 420661413 - 2⁹ = 420660901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420661433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145603 + ... + 148463.

It is an arithmetic number, because the mean of its divisors is an integer number (18472779).

Almost surely, 2^420661413 is an apocalyptic number.

It is an amenable number.

420661413 is a deficient number, since it is larger than the sum of its proper divisors (244358631).

420661413 is a wasteful number, since it uses less digits than its factorization.

420661413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 420661413 is about 20510.0320087512. The cubic root of 420661413 is about 749.2801466359.

The spelling of 420661413 in words is "four hundred twenty million, six hundred sixty-one thousand, four hundred thirteen".