5006456 has 72 divisors (see below), whose sum is σ = 12143880. Its totient is φ = 1894464.

The previous prime is 5006437. The next prime is 5006459. The reversal of 5006456 is 6546005.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006459) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 217661 + ... + 217683.

It is an arithmetic number, because the mean of its divisors is an integer number (168665).

Almost surely, 2^5006456 is an apocalyptic number.

5006456 is a gapful number since it is divisible by the number (56) 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 5006456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071940).

5006456 is an abundant number, since it is smaller than the sum of its proper divisors (7137424).

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

5006456 is a wasteful number, since it uses less digits than its factorization.

5006456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 5006456 is about 2237.5111172908. The cubic root of 5006456 is about 171.0711603788.

The spelling of 5006456 in words is "five million, six thousand, four hundred fifty-six".