2004453864 has 160 divisors (see below), whose sum is σ = 6695694720. Its totient is φ = 547772544.

The previous prime is 2004453859. The next prime is 2004453917. The reversal of 2004453864 is 4683544002.

2004453864 is a `hidden beast` number, since 20 + 0 + 44 + 538 + 64 = 666.

It is a super-3 number, since 3×2004453864³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 94722 + ... + 113934.

It is an arithmetic number, because the mean of its divisors is an integer number (41848092).

Almost surely, 2^2004453864 is an apocalyptic number.

2004453864 is a gapful number since it is divisible by the number (24) 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 2004453864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347847360).

2004453864 is an abundant number, since it is smaller than the sum of its proper divisors (4691240856).

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

2004453864 is a wasteful number, since it uses less digits than its factorization.

2004453864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19261 (or 19248 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2004453864 is about 44771.1275712372. The cubic root of 2004453864 is about 1260.8556093389.

Adding to 2004453864 its reverse (4683544002), we get a palindrome (6687997866).

The spelling of 2004453864 in words is "two billion, four million, four hundred fifty-three thousand, eight hundred sixty-four".