441515088 has 150 divisors (see below), whose sum is σ = 1442610234. Its totient is φ = 126048384.

The previous prime is 441515083. The next prime is 441515147. The reversal of 441515088 is 880515144.

It can be written as a sum of positive squares in only one way, i.e., 399680064 + 41835024 = 19992^2 + 6468^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441515083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 345106 + ... + 346382.

Almost surely, 2^441515088 is an apocalyptic number.

441515088 is a gapful number since it is divisible by the number (48) 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 441515088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721305117).

441515088 is an abundant number, since it is smaller than the sum of its proper divisors (1001095146).

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

441515088 is a wasteful number, since it uses less digits than its factorization.

441515088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 441515088 is about 21012.2604210018. The cubic root of 441515088 is about 761.4624931966.

It can be divided in two parts, 4415 and 15088, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 441515088 in words is "four hundred forty-one million, five hundred fifteen thousand, eighty-eight".