420312520 has 16 divisors (see below), whose sum is σ = 945703260. Its totient is φ = 168124992.

The previous prime is 420312517. The next prime is 420312521. The reversal of 420312520 is 25213024.

It can be written as a sum of positive squares in 2 ways, for example, as 419184676 + 1127844 = 20474^2 + 1062^2 .

It is a super-2 number, since 2×420312520² = 353325228937500800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420312521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5253867 + ... + 5253946.

Almost surely, 2^420312520 is an apocalyptic number.

420312520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420312520 is an abundant number, since it is smaller than the sum of its proper divisors (525390740).

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

420312520 is a wasteful number, since it uses less digits than its factorization.

420312520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10507824 (or 10507820 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 420312520 is about 20501.5248213395. The cubic root of 420312520 is about 749.0729404789.

Adding to 420312520 its reverse (25213024), we get a palindrome (445525544).

It can be divided in two parts, 42031 and 2520, that added together give a triangular number (44551 = T₂₉₈).

The spelling of 420312520 in words is "four hundred twenty million, three hundred twelve thousand, five hundred twenty".