421917440 has 216 divisors, whose sum is σ = 1217815200. Its totient is φ = 139991040.

The previous prime is 421917421. The next prime is 421917467. The reversal of 421917440 is 44719124.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 421917397 and 421917406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13610225 + ... + 13610255.

Almost surely, 2^421917440 is an apocalyptic number.

421917440 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 421917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608907600).

421917440 is an abundant number, since it is smaller than the sum of its proper divisors (795897760).

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

421917440 is an frugal number, since it uses more digits than its factorization.

421917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 421917440 is about 20540.6290069219. The cubic root of 421917440 is about 750.0251487863.

The spelling of 421917440 in words is "four hundred twenty-one million, nine hundred seventeen thousand, four hundred forty".