420480060 has 192 divisors, whose sum is σ = 1580995584. Its totient is φ = 80640000.

The previous prime is 420480059. The next prime is 420480061. The reversal of 420480060 is 60084024.

It is an interprime number because it is at equal distance from previous prime (420480059) and next prime (420480061).

It is a self number, because there is not a number n which added to its sum of digits gives 420480060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420480061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56560 + ... + 63560.

It is an arithmetic number, because the mean of its divisors is an integer number (8234352).

Almost surely, 2^420480060 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 420480060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790497792).

420480060 is an abundant number, since it is smaller than the sum of its proper divisors (1160515524).

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

420480060 is a wasteful number, since it uses less digits than its factorization.

420480060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 420480060 is about 20505.6104517764. The cubic root of 420480060 is about 749.1724561196.

The spelling of 420480060 in words is "four hundred twenty million, four hundred eighty thousand, sixty".