90435406407 has 8 divisors (see below), whose sum is σ = 120591813120. Its totient is φ = 60284635320.

The previous prime is 90435406387. The next prime is 90435406417. The reversal of 90435406407 is 70460453409.

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

It is not a de Polignac number, because 90435406407 - 2¹⁰ = 90435405383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90435406417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1371319 + ... + 1435752.

It is an arithmetic number, because the mean of its divisors is an integer number (15073976640).

Almost surely, 2^90435406407 is an apocalyptic number.

90435406407 is a deficient number, since it is larger than the sum of its proper divisors (30156406713).

90435406407 is a wasteful number, since it uses less digits than its factorization.

90435406407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817813.

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 90435406407 in words is "ninety billion, four hundred thirty-five million, four hundred six thousand, four hundred seven".