90435406409 has 8 divisors (see below), whose sum is σ = 91067996712. Its totient is φ = 89804943360.

The previous prime is 90435406387. The next prime is 90435406417. The reversal of 90435406409 is 90460453409.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36025178809 + 54410227600 = 189803^2 + 233260^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90435406409 - 2¹⁶ = 90435340873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90435406409.

It is not an unprimeable number, because it can be changed into a prime (90435406489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446444 + ... + 616589.

It is an arithmetic number, because the mean of its divisors is an integer number (11383499589).

Almost surely, 2^90435406409 is an apocalyptic number.

It is an amenable number.

90435406409 is a deficient number, since it is larger than the sum of its proper divisors (632590303).

90435406409 is a wasteful number, since it uses less digits than its factorization.

90435406409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063627.

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 90435406409 in words is "ninety billion, four hundred thirty-five million, four hundred six thousand, four hundred nine".