57466980 has 144 divisors (see below), whose sum is σ = 183783600. Its totient is φ = 14515200.

The previous prime is 57466961. The next prime is 57466993. The reversal of 57466980 is 8966475.

It can be written as a sum of positive squares in 8 ways, for example, as 6230016 + 51236964 = 2496^2 + 7158^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 527166 + ... + 527274.

It is an arithmetic number, because the mean of its divisors is an integer number (1276275).

Almost surely, 2^57466980 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 57466980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91891800).

57466980 is an abundant number, since it is smaller than the sum of its proper divisors (126316620).

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

57466980 is a wasteful number, since it uses less digits than its factorization.

57466980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 57466980 is about 7580.6978570578. The cubic root of 57466980 is about 385.8982344236.

The spelling of 57466980 in words is "fifty-seven million, four hundred sixty-six thousand, nine hundred eighty".