90449280 has 192 divisors, whose sum is σ = 320785920. Its totient is φ = 23470080.

The previous prime is 90449279. The next prime is 90449287. The reversal of 90449280 is 8294409.

It is a happy number.

90449280 is a `hidden beast` number, since 90 + 4 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (90449287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235969 + ... + 236351.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^90449280 is an apocalyptic number.

90449280 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 90449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

90449280 is an abundant number, since it is smaller than the sum of its proper divisors (230336640).

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

90449280 is a wasteful number, since it uses less digits than its factorization.

90449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90449280 is about 9510.4826375952. The cubic root of 90449280 is about 448.8849429811.

The spelling of 90449280 in words is "ninety million, four hundred forty-nine thousand, two hundred eighty".