90461440 has 72 divisors (see below), whose sum is σ = 224247240. Its totient is φ = 34922496.

The previous prime is 90461431. The next prime is 90461443. The reversal of 90461440 is 4416409.

It can be written as a sum of positive squares in 4 ways, for example, as 29246464 + 61214976 = 5408^2 + 7824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90461399 and 90461408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90461443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35902 + ... + 38338.

It is an arithmetic number, because the mean of its divisors is an integer number (3114545).

Almost surely, 2^90461440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112123620).

90461440 is an abundant number, since it is smaller than the sum of its proper divisors (133785800).

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

90461440 is a wasteful number, since it uses less digits than its factorization.

90461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 90461440 is about 9511.1219106896. The cubic root of 90461440 is about 448.9050581083.

Adding to 90461440 its reverse (4416409), we get a palindrome (94877849).

The spelling of 90461440 in words is "ninety million, four hundred sixty-one thousand, four hundred forty".