350120448 has 320 divisors, whose sum is σ = 1152307200. Its totient is φ = 104509440.

The previous prime is 350120413. The next prime is 350120471. The reversal of 350120448 is 844021053.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8142315 + ... + 8142357.

It is an arithmetic number, because the mean of its divisors is an integer number (3600960).

Almost surely, 2^350120448 is an apocalyptic number.

350120448 is a gapful number since it is divisible by the number (38) 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 350120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576153600).

350120448 is an abundant number, since it is smaller than the sum of its proper divisors (802186752).

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

350120448 is a wasteful number, since it uses less digits than its factorization.

350120448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 350120448 is about 18711.5057651703. The cubic root of 350120448 is about 704.8107051765.

The spelling of 350120448 in words is "three hundred fifty million, one hundred twenty thousand, four hundred forty-eight".