605480400 has 240 divisors, whose sum is σ = 2463235200. Its totient is φ = 138378240.

The previous prime is 605480399. The next prime is 605480401. The reversal of 605480400 is 4084506.

It is an interprime number because it is at equal distance from previous prime (605480399) and next prime (605480401).

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 (605480401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71596 + ... + 79604.

It is an arithmetic number, because the mean of its divisors is an integer number (10263480).

Almost surely, 2^605480400 is an apocalyptic number.

605480400 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 605480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231617600).

605480400 is an abundant number, since it is smaller than the sum of its proper divisors (1857754800).

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

605480400 is a wasteful number, since it uses less digits than its factorization.

605480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8043 (or 8026 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 605480400 is about 24606.5113333849. The cubic root of 605480400 is about 845.9928574418.

The spelling of 605480400 in words is "six hundred five million, four hundred eighty thousand, four hundred".