420472800 has 216 divisors, whose sum is σ = 1617787080. Its totient is φ = 101913600.

The previous prime is 420472777. The next prime is 420472807. The reversal of 420472800 is 8274024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420472807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76546 + ... + 81854.

It is an arithmetic number, because the mean of its divisors is an integer number (7489755).

Almost surely, 2^420472800 is an apocalyptic number.

420472800 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 420472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808893540).

420472800 is an abundant number, since it is smaller than the sum of its proper divisors (1197314280).

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

420472800 is a wasteful number, since it uses less digits than its factorization.

420472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 420472800 is about 20505.4334262897. The cubic root of 420472800 is about 749.1681443627.

The spelling of 420472800 in words is "four hundred twenty million, four hundred seventy-two thousand, eight hundred".