402653184 has 56 divisors (see below), whose sum is σ = 1073741820. Its totient is φ = 134217728.

The previous prime is 402653171. The next prime is 402653189. The reversal of 402653184 is 481356204.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)²⁴.

It is an ABA number since it can be written as A⋅B^A, here for A=24, B=2.

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402653189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 402653184 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134217727 + 134217728 + 134217729.

Almost surely, 2^402653184 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 402653184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536870910).

402653184 is an abundant number, since it is smaller than the sum of its proper divisors (671088636).

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

402653184 is an frugal number, since it uses more digits than its factorization.

402653184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 402653184 is about 20066.2199728798. The cubic root of 402653184 is about 738.4317799974.

The spelling of 402653184 in words is "four hundred two million, six hundred fifty-three thousand, one hundred eighty-four".