604461312000 has 2304 divisors, whose sum is σ = 2841880204800. Its totient is φ = 123420672000.

The previous prime is 604461311983. The next prime is 604461312011. The reversal of 604461312000 is 213164406.

604461312000 is a `hidden beast` number, since 6 + 0 + 44 + 613 + 1 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×604461312000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19498751985 + ... + 19498752015.

It is an arithmetic number, because the mean of its divisors is an integer number (1233454950).

Almost surely, 2^604461312000 is an apocalyptic number.

604461312000 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 604461312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420940102400).

604461312000 is an abundant number, since it is smaller than the sum of its proper divisors (2237418892800).

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

604461312000 is a wasteful number, since it uses less digits than its factorization.

604461312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 61 counting only the distinct ones).

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

Adding to 604461312000 its reverse (213164406), we get a palindrome (604674476406).

The spelling of 604461312000 in words is "six hundred four billion, four hundred sixty-one million, three hundred twelve thousand".