421986240 has 504 divisors, whose sum is σ = 1712396880. Its totient is φ = 97763328.

The previous prime is 421986179. The next prime is 421986241. The reversal of 421986240 is 42689124.

421986240 is a `hidden beast` number, since 4 + 21 + 9 + 8 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 421986195 and 421986204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421986241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24822712 + ... + 24822728.

Almost surely, 2^421986240 is an apocalyptic number.

421986240 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 421986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856198440).

421986240 is an abundant number, since it is smaller than the sum of its proper divisors (1290410640).

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

421986240 is a wasteful number, since it uses less digits than its factorization.

421986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 421986240 is about 20542.3036682841. The cubic root of 421986240 is about 750.0659142069.

The spelling of 421986240 in words is "four hundred twenty-one million, nine hundred eighty-six thousand, two hundred forty".