51456600 has 192 divisors, whose sum is σ = 191133600. Its totient is φ = 12648960.

The previous prime is 51456563. The next prime is 51456607. The reversal of 51456600 is 665415.

It is a happy number.

51456600 is a `hidden beast` number, since 5 + 1 + 4 + 56 + 600 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51456607) 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, 69834 + ... + 70566.

Almost surely, 2^51456600 is an apocalyptic number.

51456600 is a gapful number since it is divisible by the number (50) 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 51456600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95566800).

51456600 is an abundant number, since it is smaller than the sum of its proper divisors (139677000).

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

51456600 is a wasteful number, since it uses less digits than its factorization.

51456600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 51456600 is about 7173.3255885956. The cubic root of 51456600 is about 371.9464022676.

The spelling of 51456600 in words is "fifty-one million, four hundred fifty-six thousand, six hundred".