421893360 has 400 divisors, whose sum is σ = 1711176192. Its totient is φ = 94348800.

The previous prime is 421893349. The next prime is 421893371. The reversal of 421893360 is 63398124.

It is an interprime number because it is at equal distance from previous prime (421893349) and next prime (421893371).

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3220495 + ... + 3220625.

Almost surely, 2^421893360 is an apocalyptic number.

421893360 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 421893360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855588096).

421893360 is an abundant number, since it is smaller than the sum of its proper divisors (1289282832).

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

421893360 is a wasteful number, since it uses less digits than its factorization.

421893360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 421893360 is about 20540.0428431880. The cubic root of 421893360 is about 750.0108798422.

The spelling of 421893360 in words is "four hundred twenty-one million, eight hundred ninety-three thousand, three hundred sixty".