420541376 has 112 divisors (see below), whose sum is σ = 923361120. Its totient is φ = 189235200.

The previous prime is 420541349. The next prime is 420541391. The reversal of 420541376 is 673145024.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4163726 + ... + 4163826.

Almost surely, 2^420541376 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 420541376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461680560).

420541376 is an abundant number, since it is smaller than the sum of its proper divisors (502819744).

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

420541376 is a wasteful number, since it uses less digits than its factorization.

420541376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 420541376 is about 20507.1055002894. The cubic root of 420541376 is about 749.2088700743.

The spelling of 420541376 in words is "four hundred twenty million, five hundred forty-one thousand, three hundred seventy-six".