415238616 has 256 divisors, whose sum is σ = 1345344000. Its totient is φ = 117573120.

The previous prime is 415238609. The next prime is 415238647. The reversal of 415238616 is 616832514.

It is a happy number.

415238616 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 38 + 616 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2294046 + ... + 2294226.

It is an arithmetic number, because the mean of its divisors is an integer number (5255250).

Almost surely, 2^415238616 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 415238616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672672000).

415238616 is an abundant number, since it is smaller than the sum of its proper divisors (930105384).

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

415238616 is a wasteful number, since it uses less digits than its factorization.

415238616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 415238616 is about 20377.4045452310. The cubic root of 415238616 is about 746.0465246616.

The spelling of 415238616 in words is "four hundred fifteen million, two hundred thirty-eight thousand, six hundred sixteen".