603408960 has 448 divisors, whose sum is σ = 2656880640. Its totient is φ = 125245440.

The previous prime is 603408943. The next prime is 603408961. The reversal of 603408960 is 69804306.

603408960 is a `hidden beast` number, since 603 + 40 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (603408961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664827 + ... + 665733.

Almost surely, 2^603408960 is an apocalyptic number.

603408960 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 603408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328440320).

603408960 is an abundant number, since it is smaller than the sum of its proper divisors (2053471680).

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

603408960 is a wasteful number, since it uses less digits than its factorization.

603408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 603408960 is about 24564.3839735500. The cubic root of 603408960 is about 845.0269986588.

The spelling of 603408960 in words is "six hundred three million, four hundred eight thousand, nine hundred sixty".