415214240 has 144 divisors (see below), whose sum is σ = 1151073504. Its totient is φ = 141120000.

The previous prime is 415214231. The next prime is 415214269. The reversal of 415214240 is 42412514.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1654115 + ... + 1654365.

It is an arithmetic number, because the mean of its divisors is an integer number (7993566).

Almost surely, 2^415214240 is an apocalyptic number.

415214240 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 415214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575536752).

415214240 is an abundant number, since it is smaller than the sum of its proper divisors (735859264).

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

415214240 is a wasteful number, since it uses less digits than its factorization.

415214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 415214240 is about 20376.8064229898. The cubic root of 415214240 is about 746.0319258379.

Adding to 415214240 its reverse (42412514), we get a palindrome (457626754).

The spelling of 415214240 in words is "four hundred fifteen million, two hundred fourteen thousand, two hundred forty".