350760480 has 96 divisors (see below), whose sum is σ = 1262749824. Its totient is φ = 80173056.

The previous prime is 350760479. The next prime is 350760493. The reversal of 350760480 is 84067053.

It is a tau number, because it is divible by the number of its divisors (96).

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, 48837 + ... + 55556.

It is an arithmetic number, because the mean of its divisors is an integer number (13153644).

Almost surely, 2^350760480 is an apocalyptic number.

350760480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350760480 is an abundant number, since it is smaller than the sum of its proper divisors (911989344).

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

350760480 is a wasteful number, since it uses less digits than its factorization.

350760480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104418 (or 104410 counting only the distinct ones).

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

The square root of 350760480 is about 18728.6005884049. The cubic root of 350760480 is about 705.2399163336.

The spelling of 350760480 in words is "three hundred fifty million, seven hundred sixty thousand, four hundred eighty".