350513280 has 384 divisors, whose sum is σ = 1354429440. Its totient is φ = 82944000.

The previous prime is 350513279. The next prime is 350513281. The reversal of 350513280 is 82315053.

It is an interprime number because it is at equal distance from previous prime (350513279) and next prime (350513281).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350513281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2321205 + ... + 2321355.

It is an arithmetic number, because the mean of its divisors is an integer number (3527160).

Almost surely, 2^350513280 is an apocalyptic number.

350513280 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 350513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677214720).

350513280 is an abundant number, since it is smaller than the sum of its proper divisors (1003916160).

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

350513280 is a wasteful number, since it uses less digits than its factorization.

350513280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 350513280 is about 18721.9998931738. Note that the first 3 decimals coincide. The cubic root of 350513280 is about 705.0742037483.

The spelling of 350513280 in words is "three hundred fifty million, five hundred thirteen thousand, two hundred eighty".