90150480 has 240 divisors, whose sum is σ = 357786624. Its totient is φ = 19906560.

The previous prime is 90150469. The next prime is 90150527. The reversal of 90150480 is 8405109.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155952 + ... + 156528.

Almost surely, 2^90150480 is an apocalyptic number.

90150480 is a gapful number since it is divisible by the number (90) 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 90150480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178893312).

90150480 is an abundant number, since it is smaller than the sum of its proper divisors (267636144).

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

90150480 is a wasteful number, since it uses less digits than its factorization.

90150480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 90150480 is about 9494.7606604906. The cubic root of 90150480 is about 448.3900992078.

Adding to 90150480 its reverse (8405109), we get a palindrome (98555589).

The spelling of 90150480 in words is "ninety million, one hundred fifty thousand, four hundred eighty".