420961860 has 120 divisors (see below), whose sum is σ = 1440686016. Its totient is φ = 102047040.

The previous prime is 420961859. The next prime is 420961867. The reversal of 420961860 is 68169024.

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

It is not an unprimeable number, because it can be changed into a prime (420961867) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6009 + ... + 29631.

Almost surely, 2^420961860 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 420961860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720343008).

420961860 is an abundant number, since it is smaller than the sum of its proper divisors (1019724156).

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

420961860 is a wasteful number, since it uses less digits than its factorization.

420961860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23655 (or 23644 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 420961860 is about 20517.3550927014. The cubic root of 420961860 is about 749.4584891154.

It can be divided in two parts, 420961 and 860, that added together give a triangular number (421821 = T₉₁₈).

The spelling of 420961860 in words is "four hundred twenty million, nine hundred sixty-one thousand, eight hundred sixty".