612146304 has 384 divisors, whose sum is σ = 2250593280. Its totient is φ = 155105280.

The previous prime is 612146303. The next prime is 612146317. The reversal of 612146304 is 403641216.

612146304 is a `hidden beast` number, since 6 + 1 + 21 + 4 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612146303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5943117 + ... + 5943219.

It is an arithmetic number, because the mean of its divisors is an integer number (5860920).

Almost surely, 2^612146304 is an apocalyptic number.

612146304 is a gapful number since it is divisible by the number (64) 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 612146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125296640).

612146304 is an abundant number, since it is smaller than the sum of its proper divisors (1638446976).

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

612146304 is a wasteful number, since it uses less digits than its factorization.

612146304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

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

The square root of 612146304 is about 24741.5905713436. The cubic root of 612146304 is about 849.0861246063.

It can be divided in two parts, 6121 and 46304, that added together give a palindrome (52425).

The spelling of 612146304 in words is "six hundred twelve million, one hundred forty-six thousand, three hundred four".