4088590480 has 80 divisors (see below), whose sum is σ = 10311215040. Its totient is φ = 1498719744.

The previous prime is 4088590463. The next prime is 4088590507. The reversal of 4088590480 is 840958804.

4088590480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4088590480² = 33433144226293260800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4088590480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130419 + ... + 158701.

It is an arithmetic number, because the mean of its divisors is an integer number (128890188).

Almost surely, 2^4088590480 is an apocalyptic number.

4088590480 is a gapful number since it is divisible by the number (40) 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 4088590480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155607520).

4088590480 is an abundant number, since it is smaller than the sum of its proper divisors (6222624560).

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

4088590480 is a wasteful number, since it uses less digits than its factorization.

4088590480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28448 (or 28442 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The square root of 4088590480 is about 63942.0869224645. The cubic root of 4088590480 is about 1599.0346364129.

The spelling of 4088590480 in words is "four billion, eighty-eight million, five hundred ninety thousand, four hundred eighty".