421264140 has 96 divisors (see below), whose sum is σ = 1311158016. Its totient is φ = 100189440.

The previous prime is 421264133. The next prime is 421264147. The reversal of 421264140 is 41462124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (421264133) and next prime (421264147).

It is a self number, because there is not a number n which added to its sum of digits gives 421264140.

It is not an unprimeable number, because it can be changed into a prime (421264147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28959 + ... + 41001.

It is an arithmetic number, because the mean of its divisors is an integer number (13657896).

Almost surely, 2^421264140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421264140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655579008).

421264140 is an abundant number, since it is smaller than the sum of its proper divisors (889893876).

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

421264140 is a wasteful number, since it uses less digits than its factorization.

421264140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12119 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 421264140 is about 20524.7202173379. The cubic root of 421264140 is about 749.6378340315.

The spelling of 421264140 in words is "four hundred twenty-one million, two hundred sixty-four thousand, one hundred forty".