414140240 has 40 divisors (see below), whose sum is σ = 964625760. Its totient is φ = 165355136.

The previous prime is 414140227. The next prime is 414140263. The reversal of 414140240 is 42041414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42551 + ... + 51369.

It is an arithmetic number, because the mean of its divisors is an integer number (24115644).

Almost surely, 2^414140240 is an apocalyptic number.

414140240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414140240 is an abundant number, since it is smaller than the sum of its proper divisors (550485520).

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

414140240 is a wasteful number, since it uses less digits than its factorization.

414140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9419 (or 9413 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 414140240 is about 20350.4358675680. The cubic root of 414140240 is about 745.3881376136.

Adding to 414140240 its reverse (42041414), we get a palindrome (456181654).

The spelling of 414140240 in words is "four hundred fourteen million, one hundred forty thousand, two hundred forty".