57459420 has 144 divisors (see below), whose sum is σ = 187518240. Its totient is φ = 14197248.

The previous prime is 57459407. The next prime is 57459421. The reversal of 57459420 is 2495475.

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 (57459421) 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, 181102 + ... + 181418.

It is an arithmetic number, because the mean of its divisors is an integer number (1302210).

Almost surely, 2^57459420 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 57459420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93759120).

57459420 is an abundant number, since it is smaller than the sum of its proper divisors (130058820).

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

57459420 is a wasteful number, since it uses less digits than its factorization.

57459420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 57459420 is about 7580.1992058257. The cubic root of 57459420 is about 385.8813115542.

The spelling of 57459420 in words is "fifty-seven million, four hundred fifty-nine thousand, four hundred twenty".