51950400 has 168 divisors, whose sum is σ = 173857920. Its totient is φ = 13578240.

The previous prime is 51950363. The next prime is 51950401. The reversal of 51950400 is 405915.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51950401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379132 + ... + 379268.

Almost surely, 2^51950400 is an apocalyptic number.

51950400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86928960).

51950400 is an abundant number, since it is smaller than the sum of its proper divisors (121907520).

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

51950400 is a wasteful number, since it uses less digits than its factorization.

51950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 51950400 is about 7207.6625892171. The cubic root of 51950400 is about 373.1324032155.

The spelling of 51950400 in words is "fifty-one million, nine hundred fifty thousand, four hundred".