415115064 has 256 divisors, whose sum is σ = 1451520000. Its totient is φ = 109226880.

The previous prime is 415115047. The next prime is 415115081. The reversal of 415115064 is 460511514.

415115064 is a `hidden beast` number, since 4 + 151 + 1 + 506 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (415115047) and next prime (415115081).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 962929 + ... + 963359.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2^415115064 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 415115064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760000).

415115064 is an abundant number, since it is smaller than the sum of its proper divisors (1036404936).

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

415115064 is a wasteful number, since it uses less digits than its factorization.

415115064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 415115064 is about 20374.3727265406. The cubic root of 415115064 is about 745.9725232880.

Adding to 415115064 its reverse (460511514), we get a palindrome (875626578).

The spelling of 415115064 in words is "four hundred fifteen million, one hundred fifteen thousand, sixty-four".