1824480 has 144 divisors (see below), whose sum is σ = 7154784. Its totient is φ = 414720.

The previous prime is 1824479. The next prime is 1824481. The reversal of 1824480 is 844281.

1824480 is a `hidden beast` number, since 182 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1824479) and next prime (1824481).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1824481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9990 + ... + 10170.

It is an arithmetic number, because the mean of its divisors is an integer number (49686).

2^1824480 is an apocalyptic number.

1824480 is a gapful number since it is divisible by the number (10) 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 1824480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577392).

1824480 is an abundant number, since it is smaller than the sum of its proper divisors (5330304).

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

1824480 is a wasteful number, since it uses less digits than its factorization.

1824480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1824480 is about 1350.7331342645. The cubic root of 1824480 is about 122.1930116909.

It can be divided in two parts, 1824 and 480, that added together give a square (2304 = 48²).

The spelling of 1824480 in words is "one million, eight hundred twenty-four thousand, four hundred eighty".