57456401 has 4 divisors (see below), whose sum is σ = 57567204. Its totient is φ = 57345600.

The previous prime is 57456397. The next prime is 57456431. The reversal of 57456401 is 10465475.

It is a Cunningham number, because it is equal to 7580²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 16483600 + 40972801 = 4060^2 + 6401^2 .

It is a cyclic number.

It is not a de Polignac number, because 57456401 - 2² = 57456397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57456431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54620 + ... + 55661.

It is an arithmetic number, because the mean of its divisors is an integer number (14391801).

Almost surely, 2^57456401 is an apocalyptic number.

It is an amenable number.

57456401 is a deficient number, since it is larger than the sum of its proper divisors (110803).

57456401 is a wasteful number, since it uses less digits than its factorization.

57456401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110802.

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 57456401 is about 7580.0000659631. Note that the first 4 decimals coincide. The cubic root of 57456401 is about 385.8745531841.

The spelling of 57456401 in words is "fifty-seven million, four hundred fifty-six thousand, four hundred one".