604094400 has 504 divisors, whose sum is σ = 2648309664. Its totient is φ = 127180800.

The previous prime is 604094399. The next prime is 604094411. The reversal of 604094400 is 4490406.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×604094400² = 729860088222720000, which contains 22 as substring.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1310170 + ... + 1310630.

Almost surely, 2^604094400 is an apocalyptic number.

604094400 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 604094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324154832).

604094400 is an abundant number, since it is smaller than the sum of its proper divisors (2044215264).

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

604094400 is a wasteful number, since it uses less digits than its factorization.

604094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 604094400 is about 24578.3319206166. The cubic root of 604094400 is about 845.3468459286.

The spelling of 604094400 in words is "six hundred four million, ninety-four thousand, four hundred".