605472000 has 576 divisors, whose sum is σ = 2479486464. Its totient is φ = 127795200.

The previous prime is 605471981. The next prime is 605472011. The reversal of 605472000 is 274506.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11423974 + ... + 11424026.

It is an arithmetic number, because the mean of its divisors is an integer number (4304664).

Almost surely, 2^605472000 is an apocalyptic number.

605472000 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 605472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239743232).

605472000 is an abundant number, since it is smaller than the sum of its proper divisors (1874014464).

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

605472000 is a wasteful number, since it uses less digits than its factorization.

605472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 605472000 is about 24606.3406462643. The cubic root of 605472000 is about 845.9889451914.

The spelling of 605472000 in words is "six hundred five million, four hundred seventy-two thousand".