605342400 has 336 divisors, whose sum is σ = 2182672800. Its totient is φ = 145981440.

The previous prime is 605342393. The next prime is 605342401. The reversal of 605342400 is 4243506.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (605342401) 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, 5553546 + ... + 5553654.

It is an arithmetic number, because the mean of its divisors is an integer number (6496050).

Almost surely, 2^605342400 is an apocalyptic number.

605342400 is a gapful number since it is divisible by the number (60) 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 605342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091336400).

605342400 is an abundant number, since it is smaller than the sum of its proper divisors (1577330400).

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

605342400 is a wasteful number, since it uses less digits than its factorization.

605342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 605342400 is about 24603.7070377616. The cubic root of 605342400 is about 845.9285801699.

Adding to 605342400 its reverse (4243506), we get a palindrome (609585906).

The spelling of 605342400 in words is "six hundred five million, three hundred forty-two thousand, four hundred".