420413520 has 80 divisors (see below), whose sum is σ = 1316790720. Its totient is φ = 110948352.

The previous prime is 420413459. The next prime is 420413531. The reversal of 420413520 is 25314024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14251 + ... + 32309.

It is an arithmetic number, because the mean of its divisors is an integer number (16459884).

Almost surely, 2^420413520 is an apocalyptic number.

420413520 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 420413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658395360).

420413520 is an abundant number, since it is smaller than the sum of its proper divisors (896377200).

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

420413520 is a wasteful number, since it uses less digits than its factorization.

420413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18172 (or 18166 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 420413520 is about 20503.9879047955. The cubic root of 420413520 is about 749.1329357635.

Adding to 420413520 its reverse (25314024), we get a palindrome (445727544).

The spelling of 420413520 in words is "four hundred twenty million, four hundred thirteen thousand, five hundred twenty".