420450400 has 72 divisors (see below), whose sum is σ = 1035730584. Its totient is φ = 166656000.

The previous prime is 420450379. The next prime is 420450467. The reversal of 420450400 is 4054024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88075 + ... + 92725.

It is an arithmetic number, because the mean of its divisors is an integer number (14385147).

Almost surely, 2^420450400 is an apocalyptic number.

420450400 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 420450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517865292).

420450400 is an abundant number, since it is smaller than the sum of its proper divisors (615280184).

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

420450400 is a wasteful number, since it uses less digits than its factorization.

420450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 420450400 is about 20504.8872223185. The cubic root of 420450400 is about 749.1548405577.

The spelling of 420450400 in words is "four hundred twenty million, four hundred fifty thousand, four hundred".