420578400 has 288 divisors, whose sum is σ = 1518652800. Its totient is φ = 100249600.

The previous prime is 420578393. The next prime is 420578401. The reversal of 420578400 is 4875024.

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 (420578401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2349511 + ... + 2349689.

It is an arithmetic number, because the mean of its divisors is an integer number (5273100).

Almost surely, 2^420578400 is an apocalyptic number.

420578400 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 420578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759326400).

420578400 is an abundant number, since it is smaller than the sum of its proper divisors (1098074400).

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

420578400 is a wasteful number, since it uses less digits than its factorization.

420578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 420578400 is about 20508.0081919235. The cubic root of 420578400 is about 749.2308559373.

The spelling of 420578400 in words is "four hundred twenty million, five hundred seventy-eight thousand, four hundred".