420451200 has 288 divisors, whose sum is σ = 1617110040. Its totient is φ = 103403520.

The previous prime is 420451189. The next prime is 420451243. The reversal of 420451200 is 2154024.

420451200 is a `hidden beast` number, since 420 + 45 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 373839 + ... + 374961.

Almost surely, 2^420451200 is an apocalyptic number.

420451200 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 420451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808555020).

420451200 is an abundant number, since it is smaller than the sum of its proper divisors (1196658840).

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

420451200 is a wasteful number, since it uses less digits than its factorization.

420451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 420451200 is about 20504.9067298537. The cubic root of 420451200 is about 749.1553157017.

The spelling of 420451200 in words is "four hundred twenty million, four hundred fifty-one thousand, two hundred".