420787024 has 80 divisors (see below), whose sum is σ = 977080320. Its totient is φ = 171642240.

The previous prime is 420787021. The next prime is 420787039.

420787024 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420787021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976089 + ... + 976519.

It is an arithmetic number, because the mean of its divisors is an integer number (12213504).

Almost surely, 2^420787024 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 420787024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488540160).

420787024 is an abundant number, since it is smaller than the sum of its proper divisors (556293296).

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

420787024 is a wasteful number, since it uses less digits than its factorization.

420787024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 420787024 is about 20513.0939645876. The cubic root of 420787024 is about 749.3547184563.

The spelling of 420787024 in words is "four hundred twenty million, seven hundred eighty-seven thousand, twenty-four".