350153300 has 72 divisors (see below), whose sum is σ = 888651456. Its totient is φ = 117250560.

The previous prime is 350153273. The next prime is 350153303. The reversal of 350153300 is 3351053.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350153303) 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, 24284 + ... + 35916.

Almost surely, 2^350153300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350153300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444325728).

350153300 is an abundant number, since it is smaller than the sum of its proper divisors (538498156).

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

350153300 is a wasteful number, since it uses less digits than its factorization.

350153300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11697 (or 11690 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 20.

The square root of 350153300 is about 18712.3836001724. The cubic root of 350153300 is about 704.8327487496.

The spelling of 350153300 in words is "three hundred fifty million, one hundred fifty-three thousand, three hundred".