420441840 has 800 divisors, whose sum is σ = 1935876096. Its totient is φ = 82114560.

The previous prime is 420441811. The next prime is 420441851. The reversal of 420441840 is 48144024.

It is a happy number.

420441840 is a `hidden beast` number, since 4 + 204 + 418 + 40 = 666.

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 159 ways as a sum of consecutive naturals, for example, 13562625 + ... + 13562655.

Almost surely, 2^420441840 is an apocalyptic number.

420441840 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 420441840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967938048).

420441840 is an abundant number, since it is smaller than the sum of its proper divisors (1515434256).

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

420441840 is a wasteful number, since it uses less digits than its factorization.

420441840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 420441840 is about 20504.6784905299. The cubic root of 420441840 is about 749.1497564788.

Adding to 420441840 its reverse (48144024), we get a palindrome (468585864).

The spelling of 420441840 in words is "four hundred twenty million, four hundred forty-one thousand, eight hundred forty".