415125312 has 112 divisors (see below), whose sum is σ = 1329171840. Its totient is φ = 111624192.

The previous prime is 415125299. The next prime is 415125323. The reversal of 415125312 is 213521514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13764 + ... + 31932.

Almost surely, 2^415125312 is an apocalyptic number.

415125312 is a gapful number since it is divisible by the number (42) 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 415125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664585920).

415125312 is an abundant number, since it is smaller than the sum of its proper divisors (914046528).

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

415125312 is a wasteful number, since it uses less digits than its factorization.

415125312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18208 (or 18198 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 415125312 is about 20374.6242173936. The cubic root of 415125312 is about 745.9786618780.

Adding to 415125312 its reverse (213521514), we get a palindrome (628646826).

The spelling of 415125312 in words is "four hundred fifteen million, one hundred twenty-five thousand, three hundred twelve".