350844480 has 224 divisors, whose sum is σ = 1414759680. Its totient is φ = 80179200.

The previous prime is 350844463. The next prime is 350844509. The reversal of 350844480 is 84448053.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57580 + ... + 63380.

Almost surely, 2^350844480 is an apocalyptic number.

350844480 is a gapful number since it is divisible by the number (30) 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 350844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707379840).

350844480 is an abundant number, since it is smaller than the sum of its proper divisors (1063915200).

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

350844480 is a wasteful number, since it uses less digits than its factorization.

350844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 350844480 is about 18730.8430135966. The cubic root of 350844480 is about 705.2962087117.

The spelling of 350844480 in words is "three hundred fifty million, eight hundred forty-four thousand, four hundred eighty".