605485200 has 240 divisors, whose sum is σ = 2037012480. Its totient is φ = 153538560.

The previous prime is 605485187. The next prime is 605485201. The reversal of 605485200 is 2584506.

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

It is a super-2 number, since 2×605485200² = 733224654838080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (605485201) 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, 4419532 + ... + 4419668.

It is an arithmetic number, because the mean of its divisors is an integer number (8487552).

Almost surely, 2^605485200 is an apocalyptic number.

605485200 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 605485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018506240).

605485200 is an abundant number, since it is smaller than the sum of its proper divisors (1431527280).

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

605485200 is a wasteful number, since it uses less digits than its factorization.

605485200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 605485200 is about 24606.6088683508. The cubic root of 605485200 is about 845.9950929973.

The spelling of 605485200 in words is "six hundred five million, four hundred eighty-five thousand, two hundred".