420466800 has 120 divisors (see below), whose sum is σ = 1450556464. Its totient is φ = 103495680.

The previous prime is 420466793. The next prime is 420466807. The reversal of 420466800 is 8664024.

It is an interprime number because it is at equal distance from previous prime (420466793) and next prime (420466807).

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420466807) 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 23 ways as a sum of consecutive naturals, for example, 2124 + ... + 29076.

Almost surely, 2^420466800 is an apocalyptic number.

420466800 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 420466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725278232).

420466800 is an abundant number, since it is smaller than the sum of its proper divisors (1030089664).

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

420466800 is a wasteful number, since it uses less digits than its factorization.

420466800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26987 (or 26976 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 420466800 is about 20505.2871230812. The cubic root of 420466800 is about 749.1645808898.

The spelling of 420466800 in words is "four hundred twenty million, four hundred sixty-six thousand, eight hundred".