420632520 has 128 divisors (see below), whose sum is σ = 1573309440. Its totient is φ = 87402240.

The previous prime is 420632519. The next prime is 420632551. The reversal of 420632520 is 25236024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13522 + ... + 32001.

It is an arithmetic number, because the mean of its divisors is an integer number (12291480).

Almost surely, 2^420632520 is an apocalyptic number.

420632520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420632520 is an abundant number, since it is smaller than the sum of its proper divisors (1152676920).

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

420632520 is a wasteful number, since it uses less digits than its factorization.

420632520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45555 (or 45551 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 420632520 is about 20509.3276340303. The cubic root of 420632520 is about 749.2629915508.

Adding to 420632520 its reverse (25236024), we get a palindrome (445868544).

The spelling of 420632520 in words is "four hundred twenty million, six hundred thirty-two thousand, five hundred twenty".