468689592 has 128 divisors (see below), whose sum is σ = 1424908800. Its totient is φ = 125411328.

The previous prime is 468689579. The next prime is 468689597. The reversal of 468689592 is 295986864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468689597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1082208 + ... + 1082640.

It is an arithmetic number, because the mean of its divisors is an integer number (11132100).

Almost surely, 2^468689592 is an apocalyptic number.

468689592 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468689592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712454400).

468689592 is an abundant number, since it is smaller than the sum of its proper divisors (956219208).

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

468689592 is a wasteful number, since it uses less digits than its factorization.

468689592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 841 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The square root of 468689592 is about 21649.2399866600. The cubic root of 468689592 is about 776.7747558636.

The spelling of 468689592 in words is "four hundred sixty-eight million, six hundred eighty-nine thousand, five hundred ninety-two".