350574400 has 84 divisors (see below), whose sum is σ = 941100480. Its totient is φ = 127475200.

The previous prime is 350574379. The next prime is 350574403. The reversal of 350574400 is 4475053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350574403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7641 + ... + 27559.

Almost surely, 2^350574400 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 350574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470550240).

350574400 is an abundant number, since it is smaller than the sum of its proper divisors (590526080).

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

350574400 is a wasteful number, since it uses less digits than its factorization.

350574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19952 (or 19937 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 350574400 is about 18723.6321262729. The cubic root of 350574400 is about 705.1151832995.

The spelling of 350574400 in words is "three hundred fifty million, five hundred seventy-four thousand, four hundred".