420314760 has 96 divisors (see below), whose sum is σ = 1383408000. Its totient is φ = 110657664.

The previous prime is 420314753. The next prime is 420314803. The reversal of 420314760 is 67413024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21051 + ... + 35829.

It is an arithmetic number, because the mean of its divisors is an integer number (14410500).

Almost surely, 2^420314760 is an apocalyptic number.

420314760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420314760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691704000).

420314760 is an abundant number, since it is smaller than the sum of its proper divisors (963093240).

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

420314760 is a wasteful number, since it uses less digits than its factorization.

420314760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14875 (or 14868 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 420314760 is about 20501.5794513496. The cubic root of 420314760 is about 749.0742711716.

Adding to 420314760 its reverse (67413024), we get a palindrome (487727784).

The spelling of 420314760 in words is "four hundred twenty million, three hundred fourteen thousand, seven hundred sixty".