420287736 has 128 divisors (see below), whose sum is σ = 1246959360. Its totient is φ = 116582400.

The previous prime is 420287729. The next prime is 420287737. The reversal of 420287736 is 637782024.

It is a junction number, because it is equal to n+sod(n) for n = 420287694 and 420287703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420287737) 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 31 ways as a sum of consecutive naturals, for example, 164791 + ... + 167321.

It is an arithmetic number, because the mean of its divisors is an integer number (9741870).

Almost surely, 2^420287736 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 420287736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623479680).

420287736 is an abundant number, since it is smaller than the sum of its proper divisors (826671624).

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

420287736 is a wasteful number, since it uses less digits than its factorization.

420287736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 420287736 is about 20500.9203695834. The cubic root of 420287736 is about 749.0582169992.

The spelling of 420287736 in words is "four hundred twenty million, two hundred eighty-seven thousand, seven hundred thirty-six".