1500480 has 84 divisors (see below), whose sum is σ = 5170932. Its totient is φ = 399360.

The previous prime is 1500479. The next prime is 1500491. The reversal of 1500480 is 840051.

It can be written as a sum of positive squares in 2 ways, for example, as 484416 + 1016064 = 696^2 + 1008^2 .

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

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, 2620 + ... + 3140.

2^1500480 is an apocalyptic number.

1500480 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 1500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585466).

1500480 is an abundant number, since it is smaller than the sum of its proper divisors (3670452).

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

1500480 is a wasteful number, since it uses less digits than its factorization.

1500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1500480 is about 1224.9408148968. The cubic root of 1500480 is about 114.4836332384.

The spelling of 1500480 in words is "one million, five hundred thousand, four hundred eighty".