468838734 has 64 divisors (see below), whose sum is σ = 1158237696. Its totient is φ = 123202944.

The previous prime is 468838717. The next prime is 468838751. The reversal of 468838734 is 437838864.

It is an interprime number because it is at equal distance from previous prime (468838717) and next prime (468838751).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166224 + ... + 169020.

It is an arithmetic number, because the mean of its divisors is an integer number (18097464).

Almost surely, 2^468838734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468838734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579118848).

468838734 is an abundant number, since it is smaller than the sum of its proper divisors (689398962).

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

468838734 is a wasteful number, since it uses less digits than its factorization.

468838734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129.

The product of its digits is 3096576, while the sum is 51.

The square root of 468838734 is about 21652.6842215925. The cubic root of 468838734 is about 776.8571397815.

The spelling of 468838734 in words is "four hundred sixty-eight million, eight hundred thirty-eight thousand, seven hundred thirty-four".