420432934464 has 63 divisors (see below), whose sum is σ = 1205139701857. Its totient is φ = 140139124224.

The previous prime is 420432934459. The next prime is 420432934483. The reversal of 420432934464 is 464439234024.

The square root of 420432934464 is 648408.

It is a perfect power (a square), and thus also a powerful number.

420432934464 is a `hidden beast` number, since 420 + 43 + 2 + 93 + 44 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 412934760000 + 7498174464 = 642600^2 + 86592^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 15548284 + ... + 15575300.

Almost surely, 2^420432934464 is an apocalyptic number.

420432934464 is the 648408-th square number.

It is an amenable number.

420432934464 is an abundant number, since it is smaller than the sum of its proper divisors (784706767393).

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

420432934464 is an frugal number, since it uses more digits than its factorization.

420432934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54052 (or 27022 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

It can be divided in two parts, 420432 and 934464, that added together give a square (1354896 = 1164²).

The spelling of 420432934464 in words is "four hundred twenty billion, four hundred thirty-two million, nine hundred thirty-four thousand, four hundred sixty-four".