57007400 has 48 divisors (see below), whose sum is σ = 133501500. Its totient is φ = 22638080.

The previous prime is 57007387. The next prime is 57007403. The reversal of 57007400 is 470075.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20016676 + 36990724 = 4474^2 + 6082^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57007403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28844 + ... + 30756.

Almost surely, 2^57007400 is an apocalyptic number.

57007400 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 57007400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66750750).

57007400 is an abundant number, since it is smaller than the sum of its proper divisors (76494100).

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

57007400 is a wasteful number, since it uses less digits than its factorization.

57007400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 57007400 is about 7550.3244963379. The cubic root of 57007400 is about 384.8667667394.

Adding to 57007400 its reverse (470075), we get a palindrome (57477475).

The spelling of 57007400 in words is "fifty-seven million, seven thousand, four hundred".