420407372 has 48 divisors (see below), whose sum is σ = 921742080. Its totient is φ = 162993600.

The previous prime is 420407359. The next prime is 420407381. The reversal of 420407372 is 273704024.

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, 61754 + ... + 68222.

It is an arithmetic number, because the mean of its divisors is an integer number (19202960).

Almost surely, 2^420407372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420407372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460871040).

420407372 is an abundant number, since it is smaller than the sum of its proper divisors (501334708).

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

420407372 is a wasteful number, since it uses less digits than its factorization.

420407372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6702 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 29.

The square root of 420407372 is about 20503.8379821925. The cubic root of 420407372 is about 749.1292840480.

The spelling of 420407372 in words is "four hundred twenty million, four hundred seven thousand, three hundred seventy-two".