420202520 has 64 divisors (see below), whose sum is σ = 979948800. Its totient is φ = 161994240.

The previous prime is 420202511. The next prime is 420202577. The reversal of 420202520 is 25202024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392546 + ... + 393614.

It is an arithmetic number, because the mean of its divisors is an integer number (15311700).

Almost surely, 2^420202520 is an apocalyptic number.

420202520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420202520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489974400).

420202520 is an abundant number, since it is smaller than the sum of its proper divisors (559746280).

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

420202520 is a wasteful number, since it uses less digits than its factorization.

420202520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 420202520 is about 20498.8419185085. The cubic root of 420202520 is about 749.0075881449.

Adding to 420202520 its reverse (25202024), we get a palindrome (445404544).

The spelling of 420202520 in words is "four hundred twenty million, two hundred two thousand, five hundred twenty".