350028480 has 112 divisors (see below), whose sum is σ = 1138574304. Its totient is φ = 91054080.

The previous prime is 350028457. The next prime is 350028491. The reversal of 350028480 is 84820053.

It is a super-2 number, since 2×350028480² = 245039873622220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 34914 + ... + 43806.

It is an arithmetic number, because the mean of its divisors is an integer number (10165842).

Almost surely, 2^350028480 is an apocalyptic number.

350028480 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 350028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569287152).

350028480 is an abundant number, since it is smaller than the sum of its proper divisors (788545824).

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

350028480 is a wasteful number, since it uses less digits than its factorization.

350028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8954 (or 8944 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 350028480 is about 18709.0480784031. The cubic root of 350028480 is about 704.7489876469.

The spelling of 350028480 in words is "three hundred fifty million, twenty-eight thousand, four hundred eighty".