414803493 has 48 divisors (see below), whose sum is σ = 663272064. Its totient is φ = 248227200.

The previous prime is 414803479. The next prime is 414803503. The reversal of 414803493 is 394308414.

It is not a de Polignac number, because 414803493 - 2⁸ = 414803237 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414803293) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 936130 + ... + 936572.

It is an arithmetic number, because the mean of its divisors is an integer number (13818168).

Almost surely, 2^414803493 is an apocalyptic number.

It is an amenable number.

414803493 is a deficient number, since it is larger than the sum of its proper divisors (248468571).

414803493 is a wasteful number, since it uses less digits than its factorization.

414803493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 414803493 is about 20366.7251417600. The cubic root of 414803493 is about 745.7858428555.

The spelling of 414803493 in words is "four hundred fourteen million, eight hundred three thousand, four hundred ninety-three".