414268512 has 96 divisors (see below), whose sum is σ = 1315948032. Its totient is φ = 111396864.

The previous prime is 414268489. The next prime is 414268523. The reversal of 414268512 is 215862414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 6708 + ... + 29555.

It is an arithmetic number, because the mean of its divisors is an integer number (13707792).

Almost surely, 2^414268512 is an apocalyptic number.

414268512 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 414268512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657974016).

414268512 is an abundant number, since it is smaller than the sum of its proper divisors (901679520).

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

414268512 is a wasteful number, since it uses less digits than its factorization.

414268512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36300 (or 36292 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 414268512 is about 20353.5872022599. The cubic root of 414268512 is about 745.4650862317.

The spelling of 414268512 in words is "four hundred fourteen million, two hundred sixty-eight thousand, five hundred twelve".