350438400 has 495 divisors, whose sum is σ = 1405128351. Its totient is φ = 86261760.

The previous prime is 350438393. The next prime is 350438401. The reversal of 350438400 is 4834053.

It is a happy number.

The square root of 350438400 is 18720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 90326016 + 260112384 = 9504^2 + 16128^2 .

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (350438401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26956794 + ... + 26956806.

Almost surely, 2^350438400 is an apocalyptic number.

350438400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

350438400 is the 18720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350438400

350438400 is an abundant number, since it is smaller than the sum of its proper divisors (1054689951).

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

350438400 is a wasteful number, since it uses less digits than its factorization.

350438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The cubic root of 350438400 is about 705.0239919404.

The spelling of 350438400 in words is "three hundred fifty million, four hundred thirty-eight thousand, four hundred".