420117520 has 20 divisors (see below), whose sum is σ = 976773420. Its totient is φ = 168046976.

The previous prime is 420117463. The next prime is 420117539. The reversal of 420117520 is 25711024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 84934656 + 335182864 = 9216^2 + 18308^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×420117520² = 352997461221900800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420117491 and 420117500.

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 3 ways as a sum of consecutive naturals, for example, 2625655 + ... + 2625814.

It is an arithmetic number, because the mean of its divisors is an integer number (48838671).

Almost surely, 2^420117520 is an apocalyptic number.

420117520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420117520 is an abundant number, since it is smaller than the sum of its proper divisors (556655900).

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

420117520 is a wasteful number, since it uses less digits than its factorization.

420117520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5251482 (or 5251476 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 420117520 is about 20496.7685257945. The cubic root of 420117520 is about 748.9570808020.

Adding to 420117520 its reverse (25711024), we get a palindrome (445828544).

The spelling of 420117520 in words is "four hundred twenty million, one hundred seventeen thousand, five hundred twenty".