420461424 has 60 divisors (see below), whose sum is σ = 1181009232. Its totient is φ = 139641600.

The previous prime is 420461423. The next prime is 420461441. The reversal of 420461424 is 424164024.

It is a happy number.

420461424 is a `hidden beast` number, since 4 + 20 + 4 + 614 + 24 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420461423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35269 + ... + 45659.

Almost surely, 2^420461424 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 420461424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590504616).

420461424 is an abundant number, since it is smaller than the sum of its proper divisors (760547808).

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

420461424 is a wasteful number, since it uses less digits than its factorization.

420461424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10686 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 420461424 is about 20505.1560345197. The cubic root of 420461424 is about 749.1613879894.

The spelling of 420461424 in words is "four hundred twenty million, four hundred sixty-one thousand, four hundred twenty-four".