415014012 has 144 divisors (see below), whose sum is σ = 1254052800. Its totient is φ = 113218560.

The previous prime is 415013999. The next prime is 415014037. The reversal of 415014012 is 210410514.

It is a super-2 number, since 2×415014012² = 344473260312672288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796312 + ... + 796832.

It is an arithmetic number, because the mean of its divisors is an integer number (8708700).

Almost surely, 2^415014012 is an apocalyptic number.

415014012 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 415014012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627026400).

415014012 is an abundant number, since it is smaller than the sum of its proper divisors (839038788).

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

415014012 is a wasteful number, since it uses less digits than its factorization.

415014012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 415014012 is about 20371.8926955745. The cubic root of 415014012 is about 745.9119873550.

Adding to 415014012 its reverse (210410514), we get a palindrome (625424526).

The spelling of 415014012 in words is "four hundred fifteen million, fourteen thousand, twelve".