90280476 has 216 divisors, whose sum is σ = 287763840. Its totient is φ = 23587200.

The previous prime is 90280471. The next prime is 90280493. The reversal of 90280476 is 67408209.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90280476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90280471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1271521 + ... + 1271591.

It is an arithmetic number, because the mean of its divisors is an integer number (1332240).

Almost surely, 2^90280476 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 90280476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143881920).

90280476 is an abundant number, since it is smaller than the sum of its proper divisors (197483364).

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

90280476 is a wasteful number, since it uses less digits than its factorization.

90280476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 90280476 is about 9501.6038646115. The cubic root of 90280476 is about 448.6055202255.

The spelling of 90280476 in words is "ninety million, two hundred eighty thousand, four hundred seventy-six".