410749056 has 160 divisors (see below), whose sum is σ = 1234817100. Its totient is φ = 135530496.

The previous prime is 410749007. The next prime is 410749063. The reversal of 410749056 is 650947014.

It can be written as a sum of positive squares in 2 ways, for example, as 316270656 + 94478400 = 17784^2 + 9720^2 .

It is a super-2 number, since 2×410749056² = 337429574009782272, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 410749056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1793550 + ... + 1793778.

Almost surely, 2^410749056 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 410749056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617408550).

410749056 is an abundant number, since it is smaller than the sum of its proper divisors (824068044).

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

410749056 is a wasteful number, since it uses less digits than its factorization.

410749056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 410749056 is about 20266.9449103707. The cubic root of 410749056 is about 743.3480240460.

The spelling of 410749056 in words is "four hundred ten million, seven hundred forty-nine thousand, fifty-six".