2829456 has 90 divisors (see below), whose sum is σ = 9234342. Its totient is φ = 806400.

The previous prime is 2829439. The next prime is 2829467. The reversal of 2829456 is 6549282.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 7056 = 1680^2 + 84^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2 + 8 + 2¹⁹ + 9⁴ + 4⁸ + 5⁹ + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 2829456.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6856 + ... + 7256.

2^2829456 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 2829456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617171).

2829456 is an abundant number, since it is smaller than the sum of its proper divisors (6404886).

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

2829456 is a wasteful number, since it uses less digits than its factorization.

2829456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 413 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2829456 is about 1682.0986891381. The cubic root of 2829456 is about 141.4385020794.

The spelling of 2829456 in words is "two million, eight hundred twenty-nine thousand, four hundred fifty-six".