90429456 has 80 divisors (see below), whose sum is σ = 252928256. Its totient is φ = 27675648.

The previous prime is 90429439. The next prime is 90429467. The reversal of 90429456 is 65492409.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 195081 + ... + 195543.

Almost surely, 2^90429456 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 90429456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126464128).

90429456 is an abundant number, since it is smaller than the sum of its proper divisors (162498800).

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

90429456 is a wasteful number, since it uses less digits than its factorization.

90429456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 90429456 is about 9509.4403620823. The cubic root of 90429456 is about 448.8521461646.

The spelling of 90429456 in words is "ninety million, four hundred twenty-nine thousand, four hundred fifty-six".