1506456 has 96 divisors (see below), whose sum is σ = 4836000. Its totient is φ = 423360.

The previous prime is 1506443. The next prime is 1506457. The reversal of 1506456 is 6546051.

It is a happy number.

1506456 is a `hidden beast` number, since 15 + 0 + 645 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24666 + ... + 24726.

It is an arithmetic number, because the mean of its divisors is an integer number (50375).

2^1506456 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 1506456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418000).

1506456 is an abundant number, since it is smaller than the sum of its proper divisors (3329544).

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

1506456 is a wasteful number, since it uses less digits than its factorization.

1506456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1506456 is about 1227.3776924810. The cubic root of 1506456 is about 114.6354175408.

The spelling of 1506456 in words is "one million, five hundred six thousand, four hundred fifty-six".