350238400 has 168 divisors, whose sum is σ = 932596560. Its totient is φ = 129024000.

The previous prime is 350238389. The next prime is 350238431. The reversal of 350238400 is 4832053.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1246260 + ... + 1246540.

It is an arithmetic number, because the mean of its divisors is an integer number (5551170).

Almost surely, 2^350238400 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 350238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466298280).

350238400 is an abundant number, since it is smaller than the sum of its proper divisors (582358160).

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

350238400 is a wasteful number, since it uses less digits than its factorization.

350238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 350238400 is about 18714.6573572695. The cubic root of 350238400 is about 704.8898441308.

The spelling of 350238400 in words is "three hundred fifty million, two hundred thirty-eight thousand, four hundred".