1461504 has 72 divisors (see below), whose sum is σ = 4267872. Its totient is φ = 440320.

The previous prime is 1461497. The next prime is 1461511. The reversal of 1461504 is 4051641.

It is an interprime number because it is at equal distance from previous prime (1461497) and next prime (1461511).

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, 8362 + ... + 8534.

It is an arithmetic number, because the mean of its divisors is an integer number (59276).

2^1461504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133936).

1461504 is an abundant number, since it is smaller than the sum of its proper divisors (2806368).

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

1461504 is a wasteful number, since it uses less digits than its factorization.

1461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1461504 is about 1208.9267967913. The cubic root of 1461504 is about 113.4836605691.

The spelling of 1461504 in words is "one million, four hundred sixty-one thousand, five hundred four".