51948400 has 60 divisors (see below), whose sum is σ = 142643152. Its totient is φ = 17809920.

The previous prime is 51948397. The next prime is 51948401. The reversal of 51948400 is 484915.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51948401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6477 + ... + 12076.

Almost surely, 2^51948400 is an apocalyptic number.

51948400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51948400 is an abundant number, since it is smaller than the sum of its proper divisors (90694752).

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

51948400 is a wasteful number, since it uses less digits than its factorization.

51948400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18578 (or 18567 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 51948400 is about 7207.5238466480. The cubic root of 51948400 is about 373.1276148380.

The spelling of 51948400 in words is "fifty-one million, nine hundred forty-eight thousand, four hundred".