420606432 has 120 divisors (see below), whose sum is σ = 1243707696. Its totient is φ = 139442688.

The previous prime is 420606427. The next prime is 420606437. The reversal of 420606432 is 234606024.

420606432 is a `hidden beast` number, since 4 + 20 + 606 + 4 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (420606427) and next prime (420606437).

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

It is a junction number, because it is equal to n+sod(n) for n = 420606396 and 420606405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420606437) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 681388 + ... + 682004.

Almost surely, 2^420606432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420606432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621853848).

420606432 is an abundant number, since it is smaller than the sum of its proper divisors (823101264).

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

420606432 is a wasteful number, since it uses less digits than its factorization.

420606432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 420606432 is about 20508.6916208714. The cubic root of 420606432 is about 749.2475012467.

The spelling of 420606432 in words is "four hundred twenty million, six hundred six thousand, four hundred thirty-two".