1506440 has 32 divisors (see below), whose sum is σ = 3651480. Its totient is φ = 556032.

The previous prime is 1506433. The next prime is 1506443. The reversal of 1506440 is 446051.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 611524 + 894916 = 782^2 + 946^2 .

It is a super-2 number, since 2×1506440² = 4538722947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1506443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 929 + ... + 1968.

2^1506440 is an apocalyptic number.

1506440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1506440 is an abundant number, since it is smaller than the sum of its proper divisors (2145040).

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

1506440 is a wasteful number, since it uses less digits than its factorization.

1506440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1506440 is about 1227.3711745026. The cubic root of 1506440 is about 114.6350116936.

The spelling of 1506440 in words is "one million, five hundred six thousand, four hundred forty".