51854040 has 256 divisors, whose sum is σ = 208512000. Its totient is φ = 11228544.

The previous prime is 51854039. The next prime is 51854083. The reversal of 51854040 is 4045815.

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 junction number, because it is equal to n+sod(n) for n = 51853995 and 51854013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2729151 + ... + 2729169.

It is an arithmetic number, because the mean of its divisors is an integer number (814500).

Almost surely, 2^51854040 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 51854040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104256000).

51854040 is an abundant number, since it is smaller than the sum of its proper divisors (156657960).

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

51854040 is a wasteful number, since it uses less digits than its factorization.

51854040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 51854040 is about 7200.9749339933. The cubic root of 51854040 is about 372.9015593615.

Adding to 51854040 its reverse (4045815), we get a palindrome (55899855).

The spelling of 51854040 in words is "fifty-one million, eight hundred fifty-four thousand, forty".