51735420 has 288 divisors, whose sum is σ = 191056320. Its totient is φ = 11182080.

The previous prime is 51735419. The next prime is 51735443. The reversal of 51735420 is 2453715.

It is a happy number.

51735420 is a `hidden beast` number, since 51 + 73 + 542 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 976114 + ... + 976166.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 2^51735420 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 51735420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95528160).

51735420 is an abundant number, since it is smaller than the sum of its proper divisors (139320900).

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

51735420 is a wasteful number, since it uses less digits than its factorization.

51735420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 51735420 is about 7192.7338335295. The cubic root of 51735420 is about 372.6169955158.

It can be divided in two parts, 517 and 35420, that added together give a cube (35937 = 33³).

The spelling of 51735420 in words is "fifty-one million, seven hundred thirty-five thousand, four hundred twenty".