481440 has 96 divisors (see below), whose sum is σ = 1632960. Its totient is φ = 118784.

The previous prime is 481433. The next prime is 481447. The reversal of 481440 is 44184.

481440 = T₁₅₁ + T₁₅₂ + ... + T₁₈₄.

It is an interprime number because it is at equal distance from previous prime (481433) and next prime (481447).

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 481440.

It is not an unprimeable number, because it can be changed into a prime (481447) by changing a digit.

481440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8131 + ... + 8189.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2⁴⁸¹⁴⁴⁰ is an apocalyptic number.

481440 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 481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816480).

481440 is an abundant number, since it is smaller than the sum of its proper divisors (1151520).

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

481440 is a wasteful number, since it uses less digits than its factorization.

481440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 481440 is about 693.8587752562. The cubic root of 481440 is about 78.3755720091.

The spelling of 481440 in words is "four hundred eighty-one thousand, four hundred forty".