420313984 has 64 divisors (see below), whose sum is σ = 890643600. Its totient is φ = 196894720.

The previous prime is 420313921. The next prime is 420313987. The reversal of 420313984 is 489313024.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420313987) 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 7 ways as a sum of consecutive naturals, for example, 911514 + ... + 911974.

Almost surely, 2^420313984 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 420313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445321800).

420313984 is an abundant number, since it is smaller than the sum of its proper divisors (470329616).

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

420313984 is a wasteful number, since it uses less digits than its factorization.

420313984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 420313984 is about 20501.5605259697. The cubic root of 420313984 is about 749.0738101822.

The spelling of 420313984 in words is "four hundred twenty million, three hundred thirteen thousand, nine hundred eighty-four".