51774240 has 192 divisors, whose sum is σ = 196439040. Its totient is φ = 11197440.

The previous prime is 51774223. The next prime is 51774253. The reversal of 51774240 is 4247715.

51774240 = T₂₃₂₅ + T₂₃₂₆ + ... + T₂₃₄₃.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 51774198 and 51774207.

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, 63435 + ... + 64245.

It is an arithmetic number, because the mean of its divisors is an integer number (1023120).

Almost surely, 2^51774240 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 51774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98219520).

51774240 is an abundant number, since it is smaller than the sum of its proper divisors (144664800).

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

51774240 is a wasteful number, since it uses less digits than its factorization.

51774240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 51774240 is about 7195.4318841887. The cubic root of 51774240 is about 372.7101707222.

The spelling of 51774240 in words is "fifty-one million, seven hundred seventy-four thousand, two hundred forty".