1468480 has 56 divisors (see below), whose sum is σ = 3776472. Its totient is φ = 540672.

The previous prime is 1468469. The next prime is 1468499. The reversal of 1468480 is 848641.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 1459264 = 96^2 + 1208^2 .

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 3984 + ... + 4336.

It is an arithmetic number, because the mean of its divisors is an integer number (67437).

2^1468480 is an apocalyptic number.

1468480 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 1468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888236).

1468480 is an abundant number, since it is smaller than the sum of its proper divisors (2307992).

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

1468480 is a wasteful number, since it uses less digits than its factorization.

1468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 1468480 is about 1211.8085657397. The cubic root of 1468480 is about 113.6639328019.

The spelling of 1468480 in words is "one million, four hundred sixty-eight thousand, four hundred eighty".