350246400 has 240 divisors, whose sum is σ = 1323320064. Its totient is φ = 79994880.

The previous prime is 350246387. The next prime is 350246443. The reversal of 350246400 is 4642053.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268149 + ... + 269451.

Almost surely, 2^350246400 is an apocalyptic number.

350246400 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 350246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661660032).

350246400 is an abundant number, since it is smaller than the sum of its proper divisors (973073664).

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

350246400 is a wasteful number, since it uses less digits than its factorization.

350246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 350246400 is about 18714.8710922624. The cubic root of 350246400 is about 704.8952110235.

Adding to 350246400 its reverse (4642053), we get a palindrome (354888453).

The spelling of 350246400 in words is "three hundred fifty million, two hundred forty-six thousand, four hundred".