403488 has 48 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 134208.

The previous prime is 403483. The next prime is 403499. The reversal of 403488 is 884304.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×403488² = 325605132288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (403483) by changing a digit.

403488 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 631 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁴⁰³⁴⁸⁸ is an apocalyptic number.

403488 is a gapful number since it is divisible by the number (48) 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 403488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

403488 is an abundant number, since it is smaller than the sum of its proper divisors (775872).

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

403488 is a wasteful number, since it uses less digits than its factorization.

403488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 403488 is about 635.2070528576. The cubic root of 403488 is about 73.8941754958.

The spelling of 403488 in words is "four hundred three thousand, four hundred eighty-eight".