420535024 has 80 divisors (see below), whose sum is σ = 1006824448. Its totient is φ = 165701376.

The previous prime is 420535009. The next prime is 420535033.

420535024 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 420535024.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 533959 + ... + 534745.

Almost surely, 2^420535024 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 420535024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503412224).

420535024 is an abundant number, since it is smaller than the sum of its proper divisors (586289424).

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

420535024 is a wasteful number, since it uses less digits than its factorization.

420535024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 420535024 is about 20506.9506265559. The cubic root of 420535024 is about 749.2050979534.

The spelling of 420535024 in words is "four hundred twenty million, five hundred thirty-five thousand, twenty-four".