420225840 has 160 divisors (see below), whose sum is σ = 1454996160. Its totient is φ = 111476736.

The previous prime is 420225821. The next prime is 420225877. The reversal of 420225840 is 48522024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554742 + ... + 555498.

It is an arithmetic number, because the mean of its divisors is an integer number (9093726).

Almost surely, 2^420225840 is an apocalyptic number.

420225840 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 420225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727498080).

420225840 is an abundant number, since it is smaller than the sum of its proper divisors (1034770320).

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

420225840 is a wasteful number, since it uses less digits than its factorization.

420225840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 420225840 is about 20499.4107232379. The cubic root of 420225840 is about 749.0214437923.

Adding to 420225840 its reverse (48522024), we get a palindrome (468747864).

The spelling of 420225840 in words is "four hundred twenty million, two hundred twenty-five thousand, eight hundred forty".