1506480 has 40 divisors (see below), whose sum is σ = 4670832. Its totient is φ = 401664.

The previous prime is 1506473. The next prime is 1506487. The reversal of 1506480 is 846051.

It is an interprime number because it is at equal distance from previous prime (1506473) and next prime (1506487).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1506480.

It is not an unprimeable number, because it can be changed into a prime (1506487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2899 + ... + 3378.

2^1506480 is an apocalyptic number.

1506480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1506480 is an abundant number, since it is smaller than the sum of its proper divisors (3164352).

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

1506480 is a wasteful number, since it uses less digits than its factorization.

1506480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6293 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1506480 is about 1227.3874693836. The cubic root of 1506480 is about 114.6360263064.

The spelling of 1506480 in words is "one million, five hundred six thousand, four hundred eighty".