350998920 has 112 divisors (see below), whose sum is σ = 1184178060. Its totient is φ = 93591936.

The previous prime is 350998897. The next prime is 350998927. The reversal of 350998920 is 29899053.

It can be written as a sum of positive squares in 2 ways, for example, as 293025924 + 57972996 = 17118^2 + 7614^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (350998927) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23142 + ... + 35178.

Almost surely, 2^350998920 is an apocalyptic number.

350998920 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 350998920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592089030).

350998920 is an abundant number, since it is smaller than the sum of its proper divisors (833179140).

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

350998920 is a wasteful number, since it uses less digits than its factorization.

350998920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12066 (or 12047 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 350998920 is about 18734.9651721053. The cubic root of 350998920 is about 705.3996828279.

The spelling of 350998920 in words is "three hundred fifty million, nine hundred ninety-eight thousand, nine hundred twenty".