612352000 has 240 divisors, whose sum is σ = 1717515072. Its totient is φ = 216268800.

The previous prime is 612351997. The next prime is 612352001. The reversal of 612352000 is 253216.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612352001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26623989 + ... + 26624011.

Almost surely, 2^612352000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858757536).

612352000 is an abundant number, since it is smaller than the sum of its proper divisors (1105163072).

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

612352000 is an equidigital number, since it uses as much as digits as its factorization.

612352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 612352000 is about 24745.7471093519. The cubic root of 612352000 is about 849.1812184640.

The spelling of 612352000 in words is "six hundred twelve million, three hundred fifty-two thousand".