52348800 has 384 divisors, whose sum is σ = 212486400. Its totient is φ = 11059200.

The previous prime is 52348733. The next prime is 52348837. The reversal of 52348800 is 884325.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×52348800² = 5480793722880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276780 + ... + 1276820.

It is an arithmetic number, because the mean of its divisors is an integer number (553350).

Almost surely, 2^52348800 is an apocalyptic number.

52348800 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 52348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243200).

52348800 is an abundant number, since it is smaller than the sum of its proper divisors (160137600).

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

52348800 is a wasteful number, since it uses less digits than its factorization.

52348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 52348800 is about 7235.2470586705. The cubic root of 52348800 is about 374.0838078459.

The spelling of 52348800 in words is "fifty-two million, three hundred forty-eight thousand, eight hundred".