90509454 has 64 divisors (see below), whose sum is σ = 231552000. Its totient is φ = 25670304.

The previous prime is 90509449. The next prime is 90509459. The reversal of 90509454 is 45490509.

It is an interprime number because it is at equal distance from previous prime (90509449) and next prime (90509459).

It is a super-2 number, since 2×90509454² = 16383922526756232, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90509459) 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 31 ways as a sum of consecutive naturals, for example, 55519 + ... + 57125.

It is an arithmetic number, because the mean of its divisors is an integer number (3618000).

Almost surely, 2^90509454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90509454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115776000).

90509454 is an abundant number, since it is smaller than the sum of its proper divisors (141042546).

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

90509454 is a wasteful number, since it uses less digits than its factorization.

90509454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1768 counting only the distinct ones).

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

The square root of 90509454 is about 9513.6456734524. The cubic root of 90509454 is about 448.9844654787.

The spelling of 90509454 in words is "ninety million, five hundred nine thousand, four hundred fifty-four".