4080654400 has 63 divisors (see below), whose sum is σ = 10047251559. Its totient is φ = 1631239680.

The previous prime is 4080654379. The next prime is 4080654421. The reversal of 4080654400 is 44560804.

The square root of 4080654400 is 63880.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4080654379) and next prime (4080654421).

It can be written as a sum of positive squares in 4 ways, for example, as 814303296 + 3266351104 = 28536^2 + 57152^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2554402 + ... + 2555998.

Almost surely, 2^4080654400 is an apocalyptic number.

4080654400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4080654400 is the 63880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4080654400

4080654400 is an abundant number, since it is smaller than the sum of its proper divisors (5966597159).

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

4080654400 is an frugal number, since it uses more digits than its factorization.

4080654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The cubic root of 4080654400 is about 1597.9993744786. Note that the first 3 decimals are identical.

The spelling of 4080654400 in words is "four billion, eighty million, six hundred fifty-four thousand, four hundred".