421617240 has 144 divisors (see below), whose sum is σ = 1506304800. Its totient is φ = 102199680.

The previous prime is 421617223. The next prime is 421617247. The reversal of 421617240 is 42716124.

421617240 is a `hidden beast` number, since 4 + 2 + 1 + 617 + 2 + 40 = 666.

It is a super-2 number, since 2×421617240² = 355522194130435200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421617247) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 38721 + ... + 48399.

It is an arithmetic number, because the mean of its divisors is an integer number (10460450).

Almost surely, 2^421617240 is an apocalyptic number.

421617240 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 421617240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753152400).

421617240 is an abundant number, since it is smaller than the sum of its proper divisors (1084687560).

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

421617240 is a wasteful number, since it uses less digits than its factorization.

421617240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9718 (or 9700 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 421617240 is about 20533.3202380911. The cubic root of 421617240 is about 749.8472222140.

The spelling of 421617240 in words is "four hundred twenty-one million, six hundred seventeen thousand, two hundred forty".