420531776 has 56 divisors (see below), whose sum is σ = 957072000. Its totient is φ = 179592192.

The previous prime is 420531739. The next prime is 420531779. The reversal of 420531776 is 677135024.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420531779) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138725 + ... + 141723.

Almost surely, 2^420531776 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 420531776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478536000).

420531776 is an abundant number, since it is smaller than the sum of its proper divisors (536540224).

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

420531776 is a wasteful number, since it uses less digits than its factorization.

420531776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 420531776 is about 20506.8714337414. The cubic root of 420531776 is about 749.2031691213.

The spelling of 420531776 in words is "four hundred twenty million, five hundred thirty-one thousand, seven hundred seventy-six".