420967800 has 384 divisors, whose sum is σ = 1669536000. Its totient is φ = 96422400.

The previous prime is 420967777. The next prime is 420967823. The reversal of 420967800 is 8769024.

It is an interprime number because it is at equal distance from previous prime (420967777) and next prime (420967823).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1128414 + ... + 1128786.

It is an arithmetic number, because the mean of its divisors is an integer number (4347750).

Almost surely, 2^420967800 is an apocalyptic number.

420967800 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 420967800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834768000).

420967800 is an abundant number, since it is smaller than the sum of its proper divisors (1248568200).

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

420967800 is a wasteful number, since it uses less digits than its factorization.

420967800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 420967800 is about 20517.4998476910. The cubic root of 420967800 is about 749.4620141873.

The spelling of 420967800 in words is "four hundred twenty million, nine hundred sixty-seven thousand, eight hundred".