4257007461 has 16 divisors (see below), whose sum is σ = 7207632000. Its totient is φ = 2432575584.

The previous prime is 4257007457. The next prime is 4257007477. The reversal of 4257007461 is 1647007524.

4257007461 is a `hidden beast` number, since 42 + 570 + 0 + 7 + 46 + 1 = 666.

It is not a de Polignac number, because 4257007461 - 2² = 4257007457 is a prime.

It is a super-2 number, since 2×4257007461² = 36244225046019333042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4257007441) 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, 11261736 + ... + 11262113.

It is an arithmetic number, because the mean of its divisors is an integer number (450477000).

Almost surely, 2^4257007461 is an apocalyptic number.

It is an amenable number.

4257007461 is a deficient number, since it is larger than the sum of its proper divisors (2950624539).

4257007461 is a wasteful number, since it uses less digits than its factorization.

4257007461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22523865 (or 22523859 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4257007461 is about 65245.7466889605. The cubic root of 4257007461 is about 1620.6956648717.

The spelling of 4257007461 in words is "four billion, two hundred fifty-seven million, seven thousand, four hundred sixty-one".