403760 has 60 divisors (see below), whose sum is σ = 1102608. Its totient is φ = 137088.

The previous prime is 403757. The next prime is 403783. The reversal of 403760 is 67304.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 403760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3869 + ... + 3971.

2⁴⁰³⁷⁶⁰ is an apocalyptic number.

403760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551304).

403760 is an abundant number, since it is smaller than the sum of its proper divisors (698848).

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

403760 is a wasteful number, since it uses less digits than its factorization.

403760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 403760 is about 635.4211202030. The cubic root of 403760 is about 73.9107763208.

The spelling of 403760 in words is "four hundred three thousand, seven hundred sixty".