3000456 has 64 divisors (see below), whose sum is σ = 8640000. Its totient is φ = 963648.

The previous prime is 3000409. The next prime is 3000463. The reversal of 3000456 is 6540003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6025 + ... + 6503.

It is an arithmetic number, because the mean of its divisors is an integer number (135000).

Almost surely, 2^3000456 is an apocalyptic number.

3000456 is a gapful number since it is divisible by the number (36) 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 3000456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320000).

3000456 is an abundant number, since it is smaller than the sum of its proper divisors (5639544).

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

3000456 is a wasteful number, since it uses less digits than its factorization.

3000456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3000456 is about 1732.1824384285. The cubic root of 3000456 is about 144.2322640584.

Adding to 3000456 its reverse (6540003), we get a palindrome (9540459).

The spelling of 3000456 in words is "three million, four hundred fifty-six", and thus it is an aban number.