468034875 has 128 divisors (see below), whose sum is σ = 1079470080. Its totient is φ = 194400000.

The previous prime is 468034841. The next prime is 468034877. The reversal of 468034875 is 578430864.

It is not a de Polignac number, because 468034875 - 2¹² = 468030779 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 468034875.

It is not an unprimeable number, because it can be changed into a prime (468034877) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 258975 + ... + 260775.

It is an arithmetic number, because the mean of its divisors is an integer number (8433360).

Almost surely, 2^468034875 is an apocalyptic number.

468034875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

468034875 is an abundant number, since it is smaller than the sum of its proper divisors (611435205).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468034875 is a wasteful number, since it uses less digits than its factorization.

468034875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 468034875 is about 21634.1136864906. The cubic root of 468034875 is about 776.4128926047.

The spelling of 468034875 in words is "four hundred sixty-eight million, thirty-four thousand, eight hundred seventy-five".