414728 has 16 divisors (see below), whose sum is σ = 794880. Its totient is φ = 202768.

The previous prime is 414721. The next prime is 414731. The reversal of 414728 is 827414.

It is a junction number, because it is equal to n+sod(n) for n = 414697 and 414706.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 414728.

It is not an unprimeable number, because it can be changed into a prime (414721) by changing a digit.

414728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 176 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (49680).

2⁴¹⁴⁷²⁸ is an apocalyptic number.

It is an amenable number.

414728 is a deficient number, since it is larger than the sum of its proper divisors (380152).

414728 is a wasteful number, since it uses less digits than its factorization.

414728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1152 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 414728 is about 643.9937887899. The cubic root of 414728 is about 74.5740596510.

Subtracting 414728 from its reverse (827414), we obtain a triangular number (412686 = T₉₀₈).

It can be divided in two parts, 41472 and 8, that multiplied together give a 4-th power (331776 = 24⁴).

The spelling of 414728 in words is "four hundred fourteen thousand, seven hundred twenty-eight".