57355452 has 240 divisors, whose sum is σ = 198401280. Its totient is φ = 14113440.

The previous prime is 57355423. The next prime is 57355453. The reversal of 57355452 is 25455375.

57355452 is a `hidden beast` number, since 57 + 3 + 554 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (105000) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57355453) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3018699 + ... + 3018717.

It is an arithmetic number, because the mean of its divisors is an integer number (826672).

Almost surely, 2^57355452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57355452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99200640).

57355452 is an abundant number, since it is smaller than the sum of its proper divisors (141045828).

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

57355452 is a wasteful number, since it uses less digits than its factorization.

57355452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its digits is 105000, while the sum is 36.

The square root of 57355452 is about 7573.3382335665. The cubic root of 57355452 is about 385.6484310850.

The spelling of 57355452 in words is "fifty-seven million, three hundred fifty-five thousand, four hundred fifty-two".