420889680 has 120 divisors (see below), whose sum is σ = 1430720928. Its totient is φ = 110869248.

The previous prime is 420889663. The next prime is 420889739. The reversal of 420889680 is 86988024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56239 + ... + 63281.

Almost surely, 2^420889680 is an apocalyptic number.

420889680 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 420889680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715360464).

420889680 is an abundant number, since it is smaller than the sum of its proper divisors (1009831248).

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

420889680 is a wasteful number, since it uses less digits than its factorization.

420889680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7145 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 420889680 is about 20515.5960186391. The cubic root of 420889680 is about 749.4156515007.

The spelling of 420889680 in words is "four hundred twenty million, eight hundred eighty-nine thousand, six hundred eighty".