350090496 has 216 divisors, whose sum is σ = 1179796800. Its totient is φ = 99800064.

The previous prime is 350090479. The next prime is 350090497. The reversal of 350090496 is 694090053.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 350090496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350090497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790051 + ... + 790493.

Almost surely, 2^350090496 is an apocalyptic number.

350090496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589898400).

350090496 is an abundant number, since it is smaller than the sum of its proper divisors (829706304).

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

350090496 is an equidigital number, since it uses as much as digits as its factorization.

350090496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 350090496 is about 18710.7053848859. The cubic root of 350090496 is about 704.7906062911.

The spelling of 350090496 in words is "three hundred fifty million, ninety thousand, four hundred ninety-six".