420393132 has 48 divisors (see below), whose sum is σ = 1091983200. Its totient is φ = 139864320.

The previous prime is 420393121. The next prime is 420393157. The reversal of 420393132 is 231393024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 420393096 and 420393105.

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 15 ways as a sum of consecutive naturals, for example, 58032 + ... + 64872.

It is an arithmetic number, because the mean of its divisors is an integer number (22749650).

Almost surely, 2^420393132 is an apocalyptic number.

It is an amenable number.

420393132 is an abundant number, since it is smaller than the sum of its proper divisors (671590068).

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

420393132 is a wasteful number, since it uses less digits than its factorization.

420393132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 420393132 is about 20503.4907271908. The cubic root of 420393132 is about 749.1208258063.

The spelling of 420393132 in words is "four hundred twenty million, three hundred ninety-three thousand, one hundred thirty-two".