420775840 has 144 divisors (see below), whose sum is σ = 1091347992. Its totient is φ = 152764416.

The previous prime is 420775829. The next prime is 420775867. The reversal of 420775840 is 48577024.

It can be written as a sum of positive squares in 12 ways, for example, as 133541136 + 287234704 = 11556^2 + 16948^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 420775840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3723624 + ... + 3723736.

Almost surely, 2^420775840 is an apocalyptic number.

420775840 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 420775840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545673996).

420775840 is an abundant number, since it is smaller than the sum of its proper divisors (670572152).

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

420775840 is a wasteful number, since it uses less digits than its factorization.

420775840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The square root of 420775840 is about 20512.8213564102. The cubic root of 420775840 is about 749.3480794229.

The spelling of 420775840 in words is "four hundred twenty million, seven hundred seventy-five thousand, eight hundred forty".