612543456 has 288 divisors, whose sum is σ = 2149737408. Its totient is φ = 161464320.

The previous prime is 612543443. The next prime is 612543461. The reversal of 612543456 is 654345216.

612543456 is a `hidden beast` number, since 61 + 2 + 543 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 612543456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2090446 + ... + 2090738.

It is an arithmetic number, because the mean of its divisors is an integer number (7464366).

Almost surely, 2^612543456 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 612543456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074868704).

612543456 is an abundant number, since it is smaller than the sum of its proper divisors (1537193952).

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

612543456 is a wasteful number, since it uses less digits than its factorization.

612543456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 612543456 is about 24749.6152697370. The cubic root of 612543456 is about 849.2697099952.

The spelling of 612543456 in words is "six hundred twelve million, five hundred forty-three thousand, four hundred fifty-six".