57747420 has 144 divisors (see below), whose sum is σ = 184504320. Its totient is φ = 14601600.

The previous prime is 57747401. The next prime is 57747427. The reversal of 57747420 is 2474775.

It is a happy number.

57747420 is a `hidden beast` number, since 577 + 47 + 42 + 0 = 666.

It is a super-3 number, since 3×57747420³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57747427) 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, 440755 + ... + 440885.

It is an arithmetic number, because the mean of its divisors is an integer number (1281280).

Almost surely, 2^57747420 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 57747420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92252160).

57747420 is an abundant number, since it is smaller than the sum of its proper divisors (126756900).

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

57747420 is a wasteful number, since it uses less digits than its factorization.

57747420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 57747420 is about 7599.1723233521. The cubic root of 57747420 is about 386.5249464119.

The spelling of 57747420 in words is "fifty-seven million, seven hundred forty-seven thousand, four hundred twenty".