420904512 has 210 divisors, whose sum is σ = 1452273702. Its totient is φ = 120185856.

The previous prime is 420904507. The next prime is 420904529. The reversal of 420904512 is 215409024.

420904512 is a `hidden beast` number, since 4 + 209 + 0 + 451 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 329204736 + 91699776 = 18144^2 + 9576^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253188 + ... + 254844.

Almost surely, 2^420904512 is an apocalyptic number.

420904512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420904512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726136851).

420904512 is an abundant number, since it is smaller than the sum of its proper divisors (1031369190).

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

420904512 is a wasteful number, since it uses less digits than its factorization.

420904512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 420904512 is about 20515.9574965440. The cubic root of 420904512 is about 749.4244544427.

The spelling of 420904512 in words is "four hundred twenty million, nine hundred four thousand, five hundred twelve".