1540480 has 64 divisors (see below), whose sum is σ = 3855600. Its totient is φ = 587776.

The previous prime is 1540477. The next prime is 1540481. The reversal of 1540480 is 840451.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540481) by changing a digit.

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, 18519 + ... + 18601.

2^1540480 is an apocalyptic number.

1540480 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 1540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927800).

1540480 is an abundant number, since it is smaller than the sum of its proper divisors (2315120).

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

1540480 is an equidigital number, since it uses as much as digits as its factorization.

1540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1540480 is about 1241.1607470429. The cubic root of 1540480 is about 115.4920317085.

The spelling of 1540480 in words is "one million, five hundred forty thousand, four hundred eighty".