420129981 has 24 divisors (see below), whose sum is σ = 617906016. Its totient is φ = 275028000.

The previous prime is 420129967. The next prime is 420130001. The reversal of 420129981 is 189921024.

It is not a de Polignac number, because 420129981 - 2¹⁴ = 420113597 is a prime.

It is a super-2 number, since 2×420129981² = 353018401870120722, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420129901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127606 + ... + 130856.

It is an arithmetic number, because the mean of its divisors is an integer number (25746084).

Almost surely, 2^420129981 is an apocalyptic number.

It is an amenable number.

420129981 is a deficient number, since it is larger than the sum of its proper divisors (197776035).

420129981 is a wasteful number, since it uses less digits than its factorization.

420129981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 420129981 is about 20497.0724982862. The cubic root of 420129981 is about 748.9644856046.

The spelling of 420129981 in words is "four hundred twenty million, one hundred twenty-nine thousand, nine hundred eighty-one".