457261201 has 16 divisors (see below), whose sum is σ = 490109760. Its totient is φ = 425364480.

The previous prime is 457261177. The next prime is 457261219. The reversal of 457261201 is 102162754.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-457261201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 457261201.

It is not an unprimeable number, because it can be changed into a prime (457261271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251586 + ... + 253396.

It is an arithmetic number, because the mean of its divisors is an integer number (30631860).

Almost surely, 2^457261201 is an apocalyptic number.

It is an amenable number.

457261201 is a deficient number, since it is larger than the sum of its proper divisors (32848559).

457261201 is a wasteful number, since it uses less digits than its factorization.

457261201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 457261201 is about 21383.6666874510. Note that the first 4 decimals coincide. The cubic root of 457261201 is about 770.4091832047.

The spelling of 457261201 in words is "four hundred fifty-seven million, two hundred sixty-one thousand, two hundred one".