604052800 has 168 divisors, whose sum is σ = 1621130616. Its totient is φ = 220200960.

The previous prime is 604052773. The next prime is 604052831. The reversal of 604052800 is 8250406.

It can be written as a sum of positive squares in 12 ways, for example, as 266081344 + 337971456 = 16312^2 + 18384^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2350272 + ... + 2350528.

It is an arithmetic number, because the mean of its divisors is an integer number (9649587).

Almost surely, 2^604052800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 604052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810565308).

604052800 is an abundant number, since it is smaller than the sum of its proper divisors (1017077816).

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

604052800 is a wasteful number, since it uses less digits than its factorization.

604052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 604052800 is about 24577.4856321797. The cubic root of 604052800 is about 845.3274409945.

The spelling of 604052800 in words is "six hundred four million, fifty-two thousand, eight hundred".