57457890 has 192 divisors, whose sum is σ = 184187520. Its totient is φ = 12700800.

The previous prime is 57457879. The next prime is 57457891. The reversal of 57457890 is 9875475.

57457890 is a `hidden beast` number, since 5 + 74 + 578 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (57457891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 568840 + ... + 568940.

It is an arithmetic number, because the mean of its divisors is an integer number (959310).

Almost surely, 2^57457890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57457890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92093760).

57457890 is an abundant number, since it is smaller than the sum of its proper divisors (126729630).

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

57457890 is a wasteful number, since it uses less digits than its factorization.

57457890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 57457890 is about 7580.0982843232. The cubic root of 57457890 is about 385.8778865072.

The spelling of 57457890 in words is "fifty-seven million, four hundred fifty-seven thousand, eight hundred ninety".