605798400 has 360 divisors, whose sum is σ = 2194078320. Its totient is φ = 146800640.

The previous prime is 605798351. The next prime is 605798407. The reversal of 605798400 is 4897506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (605798407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20889586 + ... + 20889614.

It is an arithmetic number, because the mean of its divisors is an integer number (6094662).

Almost surely, 2^605798400 is an apocalyptic number.

605798400 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 605798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097039160).

605798400 is an abundant number, since it is smaller than the sum of its proper divisors (1588279920).

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

605798400 is a wasteful number, since it uses less digits than its factorization.

605798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 605798400 is about 24612.9721894776. The cubic root of 605798400 is about 846.1409374594.

The spelling of 605798400 in words is "six hundred five million, seven hundred ninety-eight thousand, four hundred".