2007456 has 48 divisors (see below), whose sum is σ = 5751648. Its totient is φ = 608000.

The previous prime is 2007451. The next prime is 2007487. The reversal of 2007456 is 6547002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007451) 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, 106 + ... + 2006.

It is an arithmetic number, because the mean of its divisors is an integer number (119826).

2^2007456 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 2007456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875824).

2007456 is an abundant number, since it is smaller than the sum of its proper divisors (3744192).

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

2007456 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 2007456 = (7520640)₈.

2007456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2007456 is about 1416.8472041826. The cubic root of 2007456 is about 126.1484770210.

The spelling of 2007456 in words is "two million, seven thousand, four hundred fifty-six".