420514520 has 64 divisors (see below), whose sum is σ = 999371520. Its totient is φ = 158925184.

The previous prime is 420514487. The next prime is 420514547. The reversal of 420514520 is 25415024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 73607 + ... + 79113.

It is an arithmetic number, because the mean of its divisors is an integer number (15615180).

Almost surely, 2^420514520 is an apocalyptic number.

420514520 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 420514520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499685760).

420514520 is an abundant number, since it is smaller than the sum of its proper divisors (578857000).

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

420514520 is a wasteful number, since it uses less digits than its factorization.

420514520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 420514520 is about 20506.4506924041. The cubic root of 420514520 is about 749.1929214401.

Adding to 420514520 its reverse (25415024), we get a palindrome (445929544).

The spelling of 420514520 in words is "four hundred twenty million, five hundred fourteen thousand, five hundred twenty".