350076480 has 112 divisors (see below), whose sum is σ = 1197034944. Its totient is φ = 86169600.

The previous prime is 350076479. The next prime is 350076481. The reversal of 350076480 is 84670053.

It is an interprime number because it is at equal distance from previous prime (350076479) and next prime (350076481).

It is not an unprimeable number, because it can be changed into a prime (350076481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1546 + ... + 26505.

It is an arithmetic number, because the mean of its divisors is an integer number (10687812).

Almost surely, 2^350076480 is an apocalyptic number.

350076480 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 350076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598517472).

350076480 is an abundant number, since it is smaller than the sum of its proper divisors (846958464).

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

350076480 is a wasteful number, since it uses less digits than its factorization.

350076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28084 (or 28074 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 350076480 is about 18710.3308361985. The cubic root of 350076480 is about 704.7812006497.

The spelling of 350076480 in words is "three hundred fifty million, seventy-six thousand, four hundred eighty".