342457200 has 240 divisors, whose sum is σ = 1253297760. Its totient is φ = 88750080.

The previous prime is 342457177. The next prime is 342457207. The reversal of 342457200 is 2754243.

342457200 is a `hidden beast` number, since 3 + 4 + 2 + 457 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342457207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399172 + ... + 400028.

It is an arithmetic number, because the mean of its divisors is an integer number (5222074).

Almost surely, 2^342457200 is an apocalyptic number.

342457200 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 342457200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626648880).

342457200 is an abundant number, since it is smaller than the sum of its proper divisors (910840560).

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

342457200 is a wasteful number, since it uses less digits than its factorization.

342457200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 342457200 is about 18505.5991526889. The cubic root of 342457200 is about 699.6305533467.

The spelling of 342457200 in words is "three hundred forty-two million, four hundred fifty-seven thousand, two hundred".