403752 has 16 divisors (see below), whose sum is σ = 1009440. Its totient is φ = 134576.

The previous prime is 403729. The next prime is 403757. The reversal of 403752 is 257304.

It is a happy number.

It is a super-4 number, since 4×403752⁴ (a number of 24 digits) contains 4444 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 403752.

It is not an unprimeable number, because it can be changed into a prime (403757) by changing a digit.

403752 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 8388 + ... + 8435.

It is an arithmetic number, because the mean of its divisors is an integer number (63090).

2⁴⁰³⁷⁵² is an apocalyptic number.

It is an amenable number.

403752 is an abundant number, since it is smaller than the sum of its proper divisors (605688).

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

403752 is a wasteful number, since it uses less digits than its factorization.

403752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16832 (or 16828 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 403752 is about 635.4148251339. The cubic root of 403752 is about 73.9102881677.

The spelling of 403752 in words is "four hundred three thousand, seven hundred fifty-two".