420873336 has 96 divisors (see below), whose sum is σ = 1256214960. Its totient is φ = 126475776.

The previous prime is 420873331. The next prime is 420873407. The reversal of 420873336 is 633378024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 420873336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420873331) by changing a digit.

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, 35020 + ... + 45476.

Almost surely, 2^420873336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420873336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628107480).

420873336 is an abundant number, since it is smaller than the sum of its proper divisors (835341624).

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

420873336 is a wasteful number, since it uses less digits than its factorization.

420873336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10525 (or 10518 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 420873336 is about 20515.1976836686. The cubic root of 420873336 is about 749.4059509318.

The spelling of 420873336 in words is "four hundred twenty million, eight hundred seventy-three thousand, three hundred thirty-six".