420738984 has 96 divisors (see below), whose sum is σ = 1212045120. Its totient is φ = 131394048.

The previous prime is 420738959. The next prime is 420738991. The reversal of 420738984 is 489837024.

420738984 is a `hidden beast` number, since 420 + 73 + 89 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321259 + ... + 322565.

It is an arithmetic number, because the mean of its divisors is an integer number (12625470).

Almost surely, 2^420738984 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 420738984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606022560).

420738984 is an abundant number, since it is smaller than the sum of its proper divisors (791306136).

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

420738984 is a wasteful number, since it uses less digits than its factorization.

420738984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 420738984 is about 20511.9229717742. The cubic root of 420738984 is about 749.3262001730.

The spelling of 420738984 in words is "four hundred twenty million, seven hundred thirty-eight thousand, nine hundred eighty-four".