57071400 has 96 divisors (see below), whose sum is σ = 179482560. Its totient is φ = 14999040.

The previous prime is 57071393. The next prime is 57071423. The reversal of 57071400 is 417075.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43149 + ... + 44451.

It is an arithmetic number, because the mean of its divisors is an integer number (1869610).

Almost surely, 2^57071400 is an apocalyptic number.

57071400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89741280).

57071400 is an abundant number, since it is smaller than the sum of its proper divisors (122411160).

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

57071400 is a wasteful number, since it uses less digits than its factorization.

57071400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 57071400 is about 7554.5615359199. The cubic root of 57071400 is about 385.0107378801.

Adding to 57071400 its reverse (417075), we get a palindrome (57488475).

The spelling of 57071400 in words is "fifty-seven million, seventy-one thousand, four hundred".