90455409 has 36 divisors (see below), whose sum is σ = 150491952. Its totient is φ = 51915600.

The previous prime is 90455377. The next prime is 90455411.

90455409 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90455409 - 2⁵ = 90455377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90455429) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34474 + ... + 37004.

It is an arithmetic number, because the mean of its divisors is an integer number (4180332).

Almost surely, 2^90455409 is an apocalyptic number.

90455409 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90455409 is a deficient number, since it is larger than the sum of its proper divisors (60036543).

90455409 is a wasteful number, since it uses less digits than its factorization.

90455409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 90455409 is about 9510.8048555314. The cubic root of 90455409 is about 448.8950818260.

The spelling of 90455409 in words is "ninety million, four hundred fifty-five thousand, four hundred nine".