420481320 has 256 divisors, whose sum is σ = 1507645440. Its totient is φ = 91819008.

The previous prime is 420481319. The next prime is 420481333. The reversal of 420481320 is 23184024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2579559 + ... + 2579721.

It is an arithmetic number, because the mean of its divisors is an integer number (5889240).

Almost surely, 2^420481320 is an apocalyptic number.

420481320 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 420481320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753822720).

420481320 is an abundant number, since it is smaller than the sum of its proper divisors (1087164120).

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

420481320 is a wasteful number, since it uses less digits than its factorization.

420481320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

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

The square root of 420481320 is about 20505.6411750523. The cubic root of 420481320 is about 749.1732044359.

The spelling of 420481320 in words is "four hundred twenty million, four hundred eighty-one thousand, three hundred twenty".