420989280 has 96 divisors (see below), whose sum is σ = 1342220544. Its totient is φ = 110900736.

The previous prime is 420989279. The next prime is 420989281. The reversal of 420989280 is 82989024.

420989280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (420989279) and next prime (420989281).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420989281) 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 15 ways as a sum of consecutive naturals, for example, 34557 + ... + 45123.

It is an arithmetic number, because the mean of its divisors is an integer number (13981464).

Almost surely, 2^420989280 is an apocalyptic number.

420989280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420989280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671110272).

420989280 is an abundant number, since it is smaller than the sum of its proper divisors (921231264).

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

420989280 is a wasteful number, since it uses less digits than its factorization.

420989280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10668 (or 10660 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 420989280 is about 20518.0232966044. The cubic root of 420989280 is about 749.4747611403.

The spelling of 420989280 in words is "four hundred twenty million, nine hundred eighty-nine thousand, two hundred eighty".