420468480 has 432 divisors, whose sum is σ = 1635772320. Its totient is φ = 99090432.

The previous prime is 420468479. The next prime is 420468487. The reversal of 420468480 is 84864024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420468487) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3720904 + ... + 3721016.

It is an arithmetic number, because the mean of its divisors is an integer number (3786510).

Almost surely, 2^420468480 is an apocalyptic number.

420468480 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 420468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817886160).

420468480 is an abundant number, since it is smaller than the sum of its proper divisors (1215303840).

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

420468480 is a wasteful number, since it uses less digits than its factorization.

420468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 420468480 is about 20505.3280880848. The cubic root of 420468480 is about 749.1655786657.

The spelling of 420468480 in words is "four hundred twenty million, four hundred sixty-eight thousand, four hundred eighty".