604268400 has 240 divisors, whose sum is σ = 2158790400. Its totient is φ = 143585280.

The previous prime is 604268363. The next prime is 604268411. The reversal of 604268400 is 4862406.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386821 + ... + 388379.

It is an arithmetic number, because the mean of its divisors is an integer number (8994960).

Almost surely, 2^604268400 is an apocalyptic number.

604268400 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 604268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079395200).

604268400 is an abundant number, since it is smaller than the sum of its proper divisors (1554522000).

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

604268400 is a wasteful number, since it uses less digits than its factorization.

604268400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 604268400 is about 24581.8713689581. The cubic root of 604268400 is about 845.4280011427.

The spelling of 604268400 in words is "six hundred four million, two hundred sixty-eight thousand, four hundred".