350388480 has 144 divisors (see below), whose sum is σ = 1205305920. Its totient is φ = 86237184.

The previous prime is 350388473. The next prime is 350388487. The reversal of 350388480 is 84883053.

It is an interprime number because it is at equal distance from previous prime (350388473) and next prime (350388487).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (350388487) 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, 46411 + ... + 53429.

It is an arithmetic number, because the mean of its divisors is an integer number (8370180).

Almost surely, 2^350388480 is an apocalyptic number.

350388480 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 350388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602652960).

350388480 is an abundant number, since it is smaller than the sum of its proper divisors (854917440).

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

350388480 is a wasteful number, since it uses less digits than its factorization.

350388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7056 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 350388480 is about 18718.6666191799. Note that the first 4 decimals coincide. The cubic root of 350388480 is about 704.9905134280.

The spelling of 350388480 in words is "three hundred fifty million, three hundred eighty-eight thousand, four hundred eighty".