414212928 has 112 divisors (see below), whose sum is σ = 1135075200. Its totient is φ = 133208064.

The previous prime is 414212923. The next prime is 414212947. The reversal of 414212928 is 829212414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414212921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1413550 + ... + 1413842.

It is an arithmetic number, because the mean of its divisors is an integer number (10134600).

Almost surely, 2^414212928 is an apocalyptic number.

414212928 is a gapful number since it is divisible by the number (48) 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 414212928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567537600).

414212928 is an abundant number, since it is smaller than the sum of its proper divisors (720862272).

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

414212928 is a wasteful number, since it uses less digits than its factorization.

414212928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 534 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 414212928 is about 20352.2216969057. The cubic root of 414212928 is about 745.4317441009.

The spelling of 414212928 in words is "four hundred fourteen million, two hundred twelve thousand, nine hundred twenty-eight".