57254400 has 360 divisors, whose sum is σ = 237466944. Its totient is φ = 12902400.

The previous prime is 57254399. The next prime is 57254401. The reversal of 57254400 is 445275.

57254400 is a `hidden beast` number, since 5 + 7 + 254 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (57254399) and next prime (57254401).

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (57254401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 806365 + ... + 806435.

Almost surely, 2^57254400 is an apocalyptic number.

57254400 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 57254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118733472).

57254400 is an abundant number, since it is smaller than the sum of its proper divisors (180212544).

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

57254400 is a wasteful number, since it uses less digits than its factorization.

57254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 57254400 is about 7566.6637298085. The cubic root of 57254400 is about 385.4218123816.

Adding to 57254400 its reverse (445275), we get a palindrome (57699675).

The spelling of 57254400 in words is "fifty-seven million, two hundred fifty-four thousand, four hundred".