414402540 has 96 divisors (see below), whose sum is σ = 1293304320. Its totient is φ = 98528256.

The previous prime is 414402533. The next prime is 414402563. The reversal of 414402540 is 45204414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 414402540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8689 + ... + 30071.

It is an arithmetic number, because the mean of its divisors is an integer number (13471920).

Almost surely, 2^414402540 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 414402540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646652160).

414402540 is an abundant number, since it is smaller than the sum of its proper divisors (878901780).

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

414402540 is a wasteful number, since it uses less digits than its factorization.

414402540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21431 (or 21429 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 414402540 is about 20356.8794268670. The cubic root of 414402540 is about 745.5454708282.

Adding to 414402540 its reverse (45204414), we get a palindrome (459606954).

The spelling of 414402540 in words is "four hundred fourteen million, four hundred two thousand, five hundred forty".