414998 has 16 divisors (see below), whose sum is σ = 669120. Its totient is φ = 192456.

The previous prime is 414991. The next prime is 415013. The reversal of 414998 is 899414.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2465 + ... + 2627.

It is an arithmetic number, because the mean of its divisors is an integer number (41820).

2⁴¹⁴⁹⁹⁸ is an apocalyptic number.

414998 is a deficient number, since it is larger than the sum of its proper divisors (254122).

414998 is a wasteful number, since it uses less digits than its factorization.

414998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its digits is 10368, while the sum is 35.

The square root of 414998 is about 644.2033840333. The cubic root of 414998 is about 74.5902394349.

Subtracting 414998 from its reverse (899414), we obtain a square (484416 = 696²).

The spelling of 414998 in words is "four hundred fourteen thousand, nine hundred ninety-eight".