420834240 has 168 divisors, whose sum is σ = 1478767680. Its totient is φ = 109799424.

The previous prime is 420834233. The next prime is 420834241. The reversal of 420834240 is 42438024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420834241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133806 + ... + 136914.

Almost surely, 2^420834240 is an apocalyptic number.

420834240 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 420834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739383840).

420834240 is an abundant number, since it is smaller than the sum of its proper divisors (1057933440).

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

420834240 is a wasteful number, since it uses less digits than its factorization.

420834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 420834240 is about 20514.2448069628. The cubic root of 420834240 is about 749.3827454685.

The spelling of 420834240 in words is "four hundred twenty million, eight hundred thirty-four thousand, two hundred forty".