468057951 has 24 divisors (see below), whose sum is σ = 713032320. Its totient is φ = 295048656.

The previous prime is 468057949. The next prime is 468057959. The reversal of 468057951 is 159750864.

It is not a de Polignac number, because 468057951 - 2¹ = 468057949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 468057897 and 468057906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468057959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98046 + ... + 102708.

It is an arithmetic number, because the mean of its divisors is an integer number (29709680).

Almost surely, 2^468057951 is an apocalyptic number.

468057951 is a deficient number, since it is larger than the sum of its proper divisors (244974369).

468057951 is a wasteful number, since it uses less digits than its factorization.

468057951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 468057951 is about 21634.6470042846. The cubic root of 468057951 is about 776.4256524868.

It can be divided in two parts, 46805 and 7951, that added together give a square (54756 = 234²).

The spelling of 468057951 in words is "four hundred sixty-eight million, fifty-seven thousand, nine hundred fifty-one".