604992000 has 320 divisors, whose sum is σ = 2114221824. Its totient is φ = 153190400.

The previous prime is 604991987. The next prime is 604992013. The reversal of 604992000 is 299406.

It is an interprime number because it is at equal distance from previous prime (604991987) and next prime (604992013).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4415932 + ... + 4416068.

Almost surely, 2^604992000 is an apocalyptic number.

604992000 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 604992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057110912).

604992000 is an abundant number, since it is smaller than the sum of its proper divisors (1509229824).

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

604992000 is a wasteful number, since it uses less digits than its factorization.

604992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 604992000 is about 24596.5851288344. The cubic root of 604992000 is about 845.7653278874.

The spelling of 604992000 in words is "six hundred four million, nine hundred ninety-two thousand".