420811216 has 30 divisors (see below), whose sum is σ = 948437250. Its totient is φ = 180347328.

The previous prime is 420811213. The next prime is 420811229. The reversal of 420811216 is 612118024.

It can be written as a sum of positive squares in only one way, i.e., 265559616 + 155251600 = 16296^2 + 12460^2 .

It is a super-2 number, since 2×420811216² = 354164159022797312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420811211) 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 5 ways as a sum of consecutive naturals, for example, 267591 + ... + 269158.

It is an arithmetic number, because the mean of its divisors is an integer number (31614575).

Almost surely, 2^420811216 is an apocalyptic number.

It is an amenable number.

420811216 is an abundant number, since it is smaller than the sum of its proper divisors (527626034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420811216 is a wasteful number, since it uses less digits than its factorization.

420811216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536771 (or 536758 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 420811216 is about 20513.6836282517. The cubic root of 420811216 is about 749.3690788817.

The spelling of 420811216 in words is "four hundred twenty million, eight hundred eleven thousand, two hundred sixteen".