350088480 has 480 divisors, whose sum is σ = 1501670016. Its totient is φ = 74981376.

The previous prime is 350088437. The next prime is 350088481. The reversal of 350088480 is 84880053.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350088481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1542127 + ... + 1542353.

Almost surely, 2^350088480 is an apocalyptic number.

350088480 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 350088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750835008).

350088480 is an abundant number, since it is smaller than the sum of its proper divisors (1151581536).

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

350088480 is a wasteful number, since it uses less digits than its factorization.

350088480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 350088480 is about 18710.6515119063. The cubic root of 350088480 is about 704.7892534403.

The spelling of 350088480 in words is "three hundred fifty million, eighty-eight thousand, four hundred eighty".