4087044900 has 81 divisors (see below), whose sum is σ = 12816629553. Its totient is φ = 1089367200.

The previous prime is 4087044889. The next prime is 4087044911. The reversal of 4087044900 is 94407804.

The square root of 4087044900 is 63930.

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 (4087044889) and next prime (4087044911).

It can be written as a sum of positive squares in only one way, i.e., 1471336164 + 2615708736 = 38358^2 + 51144^2 .

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 26 ways as a sum of consecutive naturals, for example, 1916835 + ... + 1918965.

Almost surely, 2^4087044900 is an apocalyptic number.

4087044900 is the 63930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4087044900

4087044900 is an abundant number, since it is smaller than the sum of its proper divisors (8729584653).

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

4087044900 is a wasteful number, since it uses less digits than its factorization.

4087044900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 4087044900 is about 1598.8331205563.

Multiplying 4087044900 by its sum of digits (36), we get a square (147133616400 = 383580²).

4087044900 divided by its sum of digits (36) gives a square (113529025 = 10655²).

The spelling of 4087044900 in words is "four billion, eighty-seven million, forty-four thousand, nine hundred".