350145180 has 360 divisors, whose sum is σ = 1397387376. Its totient is φ = 72576000.

The previous prime is 350145179. The next prime is 350145181. The reversal of 350145180 is 81541053.

It is an interprime number because it is at equal distance from previous prime (350145179) and next prime (350145181).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350145181) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 872980 + ... + 873380.

Almost surely, 2^350145180 is an apocalyptic number.

350145180 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 350145180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698693688).

350145180 is an abundant number, since it is smaller than the sum of its proper divisors (1047242196).

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

350145180 is a wasteful number, since it uses less digits than its factorization.

350145180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 350145180 is about 18712.1666302970. The cubic root of 350145180 is about 704.8273003873.

It can be divided in two parts, 350 and 145180, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 350145180 in words is "three hundred fifty million, one hundred forty-five thousand, one hundred eighty".