52431600 has 120 divisors (see below), whose sum is σ = 180929392. Its totient is φ = 12902400.

The previous prime is 52431557. The next prime is 52431647. The reversal of 52431600 is 613425.

52431600 = 275² + 276² + ... + 562².

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13920 + ... + 17280.

Almost surely, 2^52431600 is an apocalyptic number.

52431600 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 52431600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90464696).

52431600 is an abundant number, since it is smaller than the sum of its proper divisors (128497792).

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

52431600 is a wasteful number, since it uses less digits than its factorization.

52431600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 52431600 is about 7240.9667862793. The cubic root of 52431600 is about 374.2809331735.

The spelling of 52431600 in words is "fifty-two million, four hundred thirty-one thousand, six hundred".