420972705 has 24 divisors (see below), whose sum is σ = 730178280. Its totient is φ = 224367360.

The previous prime is 420972701. The next prime is 420972719. The reversal of 420972705 is 507279024.

It can be written as a sum of positive squares in 4 ways, for example, as 27029601 + 393943104 = 5199^2 + 19848^2 .

It is not a de Polignac number, because 420972705 - 2² = 420972701 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 420972705.

It is not an unprimeable number, because it can be changed into a prime (420972701) 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, 105181 + ... + 109109.

It is an arithmetic number, because the mean of its divisors is an integer number (30424095).

Almost surely, 2^420972705 is an apocalyptic number.

420972705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420972705 is a deficient number, since it is larger than the sum of its proper divisors (309205575).

420972705 is a wasteful number, since it uses less digits than its factorization.

420972705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6321 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 420972705 is about 20517.6193794504. The cubic root of 420972705 is about 749.4649250171.

The spelling of 420972705 in words is "four hundred twenty million, nine hundred seventy-two thousand, seven hundred five".