51932400 has 120 divisors (see below), whose sum is σ = 179207280. Its totient is φ = 12779520.

The previous prime is 51932389. The next prime is 51932407. The reversal of 51932400 is 423915.

It is a tau number, because it is divible by the number of its divisors (120).

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 (51932407) 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, 13936 + ... + 17264.

It is an arithmetic number, because the mean of its divisors is an integer number (1493394).

Almost surely, 2^51932400 is an apocalyptic number.

51932400 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 51932400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89603640).

51932400 is an abundant number, since it is smaller than the sum of its proper divisors (127274880).

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

51932400 is a wasteful number, since it uses less digits than its factorization.

51932400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 51932400 is about 7206.4138099335. The cubic root of 51932400 is about 373.0893033927.

The spelling of 51932400 in words is "fifty-one million, nine hundred thirty-two thousand, four hundred".