52266400 has 72 divisors (see below), whose sum is σ = 129366720. Its totient is φ = 20616960.

The previous prime is 52266367. The next prime is 52266493. The reversal of 52266400 is 466225.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62787 + ... + 63613.

It is an arithmetic number, because the mean of its divisors is an integer number (1796760).

Almost surely, 2^52266400 is an apocalyptic number.

52266400 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 52266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64683360).

52266400 is an abundant number, since it is smaller than the sum of its proper divisors (77100320).

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

52266400 is a wasteful number, since it uses less digits than its factorization.

52266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 52266400 is about 7229.5504701191. The cubic root of 52266400 is about 373.8874283485.

The spelling of 52266400 in words is "fifty-two million, two hundred sixty-six thousand, four hundred".