403440 has 60 divisors (see below), whose sum is σ = 1281912. Its totient is φ = 104960.

The previous prime is 403439. The next prime is 403483. The reversal of 403440 is 44304.

403440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 403440.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9820 + ... + 9860.

2⁴⁰³⁴⁴⁰ is an apocalyptic number.

403440 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 403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640956).

403440 is an abundant number, since it is smaller than the sum of its proper divisors (878472).

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

403440 is a wasteful number, since it uses less digits than its factorization.

403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 403440 is about 635.1692687780. The cubic root of 403440 is about 73.8912451641.

Multiplying 403440 by its sum of digits (15), we get a square (6051600 = 2460²).

403440 divided by its sum of digits (15) gives a square (26896 = 164²).

Adding to 403440 its reverse (44304), we get a palindrome (447744).

The spelling of 403440 in words is "four hundred three thousand, four hundred forty", and thus it is an iban number.