51654456 has 128 divisors (see below), whose sum is σ = 165888000. Its totient is φ = 14587776.

The previous prime is 51654437. The next prime is 51654461. The reversal of 51654456 is 65445615.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51654456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191890 + ... + 192158.

It is an arithmetic number, because the mean of its divisors is an integer number (1296000).

Almost surely, 2^51654456 is an apocalyptic number.

51654456 is a gapful number since it is divisible by the number (56) 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 51654456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82944000).

51654456 is an abundant number, since it is smaller than the sum of its proper divisors (114233544).

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

51654456 is a wasteful number, since it uses less digits than its factorization.

51654456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 51654456 is about 7187.1034499303. The cubic root of 51654456 is about 372.4225168029.

The spelling of 51654456 in words is "fifty-one million, six hundred fifty-four thousand, four hundred fifty-six".