350906400 has 432 divisors, whose sum is σ = 1399035456. Its totient is φ = 82114560.

The previous prime is 350906399. The next prime is 350906419. The reversal of 350906400 is 4609053.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 2152719 + ... + 2152881.

It is an arithmetic number, because the mean of its divisors is an integer number (3238508).

Almost surely, 2^350906400 is an apocalyptic number.

350906400 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 350906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699517728).

350906400 is an abundant number, since it is smaller than the sum of its proper divisors (1048129056).

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

350906400 is a wasteful number, since it uses less digits than its factorization.

350906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 350906400 is about 18732.4958294403. The cubic root of 350906400 is about 705.3376984835.

The spelling of 350906400 in words is "three hundred fifty million, nine hundred six thousand, four hundred".