350663520 has 144 divisors (see below), whose sum is σ = 1155539952. Its totient is φ = 89379840.

The previous prime is 350663519. The next prime is 350663527. The reversal of 350663520 is 25366053.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350663527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253230 + ... + 254610.

It is an arithmetic number, because the mean of its divisors is an integer number (8024583).

Almost surely, 2^350663520 is an apocalyptic number.

350663520 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 350663520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577769976).

350663520 is an abundant number, since it is smaller than the sum of its proper divisors (804876432).

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

350663520 is a wasteful number, since it uses less digits than its factorization.

350663520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 350663520 is about 18726.0118551709. The cubic root of 350663520 is about 705.1749276705.

The spelling of 350663520 in words is "three hundred fifty million, six hundred sixty-three thousand, five hundred twenty".