420866416 has 160 divisors (see below), whose sum is σ = 977080320. Its totient is φ = 174182400.

The previous prime is 420866393. The next prime is 420866419. The reversal of 420866416 is 614668024.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420866419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5927661 + ... + 5927731.

It is an arithmetic number, because the mean of its divisors is an integer number (6106752).

Almost surely, 2^420866416 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 420866416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488540160).

420866416 is an abundant number, since it is smaller than the sum of its proper divisors (556213904).

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

420866416 is a wasteful number, since it uses less digits than its factorization.

420866416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 420866416 is about 20515.0290275203. The cubic root of 420866416 is about 749.4018436647.

The spelling of 420866416 in words is "four hundred twenty million, eight hundred sixty-six thousand, four hundred sixteen".