415122240 has 448 divisors, whose sum is σ = 1556674560. Its totient is φ = 92897280.

The previous prime is 415122223. The next prime is 415122293. The reversal of 415122240 is 42221514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11219502 + ... + 11219538.

It is an arithmetic number, because the mean of its divisors is an integer number (3474720).

Almost surely, 2^415122240 is an apocalyptic number.

415122240 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 415122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778337280).

415122240 is an abundant number, since it is smaller than the sum of its proper divisors (1141552320).

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

415122240 is a wasteful number, since it uses less digits than its factorization.

415122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 415122240 is about 20374.5488293606. The cubic root of 415122240 is about 745.9768217492.

Adding to 415122240 its reverse (42221514), we get a palindrome (457343754).

The spelling of 415122240 in words is "four hundred fifteen million, one hundred twenty-two thousand, two hundred forty".