414736728 has 64 divisors (see below), whose sum is σ = 1200000000. Its totient is φ = 116992512.

The previous prime is 414736691. The next prime is 414736733. The reversal of 414736728 is 827637414.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 414736728.

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, 2353 + ... + 28896.

It is an arithmetic number, because the mean of its divisors is an integer number (18750000).

Almost surely, 2^414736728 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 414736728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600000000).

414736728 is an abundant number, since it is smaller than the sum of its proper divisors (785263272).

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

414736728 is a wasteful number, since it uses less digits than its factorization.

414736728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31344 (or 31340 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 414736728 is about 20365.0860052198. The cubic root of 414736728 is about 745.7458278731.

The spelling of 414736728 in words is "four hundred fourteen million, seven hundred thirty-six thousand, seven hundred twenty-eight".