421599360 has 512 divisors, whose sum is σ = 1754726400. Its totient is φ = 83607552.

The previous prime is 421599359. The next prime is 421599389. The reversal of 421599360 is 63995124.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 3319617 + ... + 3319743.

It is an arithmetic number, because the mean of its divisors is an integer number (3427200).

Almost surely, 2^421599360 is an apocalyptic number.

421599360 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 421599360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877363200).

421599360 is an abundant number, since it is smaller than the sum of its proper divisors (1333127040).

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

421599360 is a wasteful number, since it uses less digits than its factorization.

421599360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 421599360 is about 20532.8848435869. The cubic root of 421599360 is about 749.8366221906.

The spelling of 421599360 in words is "four hundred twenty-one million, five hundred ninety-nine thousand, three hundred sixty".