420881328 has 60 divisors (see below), whose sum is σ = 1346155408. Its totient is φ = 120251520.

The previous prime is 420881323. The next prime is 420881333. The reversal of 420881328 is 823188024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420881323) and next prime (420881333).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 420881292 and 420881301.

It is not an unprimeable number, because it can be changed into a prime (420881323) 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, 207763 + ... + 209778.

Almost surely, 2^420881328 is an apocalyptic number.

420881328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420881328 is an abundant number, since it is smaller than the sum of its proper divisors (925274080).

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

420881328 is a wasteful number, since it uses less digits than its factorization.

420881328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417562 (or 417553 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 420881328 is about 20515.3924651711. The cubic root of 420881328 is about 749.4106944132.

The spelling of 420881328 in words is "four hundred twenty million, eight hundred eighty-one thousand, three hundred twenty-eight".