350254800 has 480 divisors, whose sum is σ = 1472405760. Its totient is φ = 77414400.

The previous prime is 350254799. The next prime is 350254811. The reversal of 350254800 is 8452053.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3099544 + ... + 3099656.

It is an arithmetic number, because the mean of its divisors is an integer number (3067512).

Almost surely, 2^350254800 is an apocalyptic number.

350254800 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 350254800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736202880).

350254800 is an abundant number, since it is smaller than the sum of its proper divisors (1122150960).

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

350254800 is a wasteful number, since it uses less digits than its factorization.

350254800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 350254800 is about 18715.0955113780. The cubic root of 350254800 is about 704.9008461730.

The spelling of 350254800 in words is "three hundred fifty million, two hundred fifty-four thousand, eight hundred".