57475440 has 320 divisors, whose sum is σ = 224985600. Its totient is φ = 13363200.

The previous prime is 57475427. The next prime is 57475441. The reversal of 57475440 is 4457475.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 57475395 and 57475404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57475441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 974131 + ... + 974189.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^57475440 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 57475440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

57475440 is an abundant number, since it is smaller than the sum of its proper divisors (167510160).

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

57475440 is a wasteful number, since it uses less digits than its factorization.

57475440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 57475440 is about 7581.2558326441. The cubic root of 57475440 is about 385.9171701607.

The spelling of 57475440 in words is "fifty-seven million, four hundred seventy-five thousand, four hundred forty".