53773200 has 240 divisors, whose sum is σ = 206653440. Its totient is φ = 13201920.

The previous prime is 53773169. The next prime is 53773201. The reversal of 53773200 is 237735.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×53773200⁴ (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53773201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140209 + ... + 140591.

It is an arithmetic number, because the mean of its divisors is an integer number (861056).

Almost surely, 2^53773200 is an apocalyptic number.

53773200 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 53773200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103326720).

53773200 is an abundant number, since it is smaller than the sum of its proper divisors (152880240).

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

53773200 is a wasteful number, since it uses less digits than its factorization.

53773200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 53773200 is about 7333.0212054787. The cubic root of 53773200 is about 377.4464055605.

It can be divided in two parts, 537 and 73200, that added together give a palindrome (73737).

The spelling of 53773200 in words is "fifty-three million, seven hundred seventy-three thousand, two hundred".