420929001 has 32 divisors (see below), whose sum is σ = 640886400. Its totient is φ = 272885760.

The previous prime is 420928999. The next prime is 420929009. The reversal of 420929001 is 100929024.

It is not a de Polignac number, because 420929001 - 2¹ = 420928999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (420929009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638410 + ... + 639068.

It is an arithmetic number, because the mean of its divisors is an integer number (20027700).

Almost surely, 2^420929001 is an apocalyptic number.

420929001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

420929001 is a deficient number, since it is larger than the sum of its proper divisors (219957399).

420929001 is a wasteful number, since it uses less digits than its factorization.

420929001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 420929001 is about 20516.5543159664. The cubic root of 420929001 is about 749.4389884594.

The spelling of 420929001 in words is "four hundred twenty million, nine hundred twenty-nine thousand, one".