350400 has 84 divisors (see below), whose sum is σ = 1165352. Its totient is φ = 92160.

The previous prime is 350381. The next prime is 350411. The reversal of 350400 is 4053.

350400 = T₇₁ + T₇₂ + ... + T₁₃₄.

350400 = 30² + 31² + ... + 102².

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

350400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4764 + ... + 4836.

2³⁵⁰⁴⁰⁰ is an apocalyptic number.

350400 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 350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582676).

350400 is an abundant number, since it is smaller than the sum of its proper divisors (814952).

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

350400 is a wasteful number, since it uses less digits than its factorization.

350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 350400 is about 591.9459434779. The cubic root of 350400 is about 70.4998239521.

Adding to 350400 its reverse (4053), we get a palindrome (354453).

It can be divided in two parts, 3 and 50400, that added together give a triangular number (50403 = T₃₁₇).

The spelling of 350400 in words is "three hundred fifty thousand, four hundred".