51946440 has 256 divisors, whose sum is σ = 197406720. Its totient is φ = 10644480.

The previous prime is 51946423. The next prime is 51946459. The reversal of 51946440 is 4464915.

51946440 = T₁₁₁ + T₁₁₂ + ... + T₆₇₈.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 731605 + ... + 731675.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 2^51946440 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 51946440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

51946440 is an abundant number, since it is smaller than the sum of its proper divisors (145460280).

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

51946440 is a wasteful number, since it uses less digits than its factorization.

51946440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 51946440 is about 7207.3878763391. The cubic root of 51946440 is about 373.1229221088.

The spelling of 51946440 in words is "fifty-one million, nine hundred forty-six thousand, four hundred forty".