342454400 has 96 divisors (see below), whose sum is σ = 855004800. Its totient is φ = 135521280.

The previous prime is 342454381. The next prime is 342454403. The reversal of 342454400 is 4454243.

It is a self number, because there is not a number n which added to its sum of digits gives 342454400.

It is not an unprimeable number, because it can be changed into a prime (342454403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329081 + ... + 330119.

It is an arithmetic number, because the mean of its divisors is an integer number (8906300).

Almost surely, 2^342454400 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 342454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427502400).

342454400 is an abundant number, since it is smaller than the sum of its proper divisors (512550400).

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

342454400 is a wasteful number, since it uses less digits than its factorization.

342454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 342454400 is about 18505.5234997554. The cubic root of 342454400 is about 699.6286465674.

The spelling of 342454400 in words is "three hundred forty-two million, four hundred fifty-four thousand, four hundred".