403749 has 12 divisors (see below), whose sum is σ = 589836. Its totient is φ = 266112.

The previous prime is 403729. The next prime is 403757. The reversal of 403749 is 947304.

It can be written as a sum of positive squares in 2 ways, for example, as 108900 + 294849 = 330^2 + 543^2 .

It is not a de Polignac number, because 403749 - 2⁵ = 403717 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 819 + ... + 1215.

It is an arithmetic number, because the mean of its divisors is an integer number (49153).

2⁴⁰³⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

403749 is a deficient number, since it is larger than the sum of its proper divisors (186087).

403749 is a wasteful number, since it uses less digits than its factorization.

403749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 403749 is about 635.4124644670. The cubic root of 403749 is about 73.9101051086.

The spelling of 403749 in words is "four hundred three thousand, seven hundred forty-nine".