468480951 has 48 divisors (see below), whose sum is σ = 759193344. Its totient is φ = 276832512.

The previous prime is 468480899. The next prime is 468480983. The reversal of 468480951 is 159084864.

It is not a de Polignac number, because 468480951 - 2²³ = 460092343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 468480897 and 468480906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468480151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234780 + ... + 236766.

It is an arithmetic number, because the mean of its divisors is an integer number (15816528).

Almost surely, 2^468480951 is an apocalyptic number.

468480951 is a deficient number, since it is larger than the sum of its proper divisors (290712393).

468480951 is a wasteful number, since it uses less digits than its factorization.

468480951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 468480951 is about 21644.4207822709. The cubic root of 468480951 is about 776.6594762137.

The spelling of 468480951 in words is "four hundred sixty-eight million, four hundred eighty thousand, nine hundred fifty-one".