468425376 has 96 divisors (see below), whose sum is σ = 1410393600. Its totient is φ = 151096320.

The previous prime is 468425351. The next prime is 468425381. The reversal of 468425376 is 673524864.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18040 + ... + 35528.

It is an arithmetic number, because the mean of its divisors is an integer number (14691600).

Almost surely, 2^468425376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468425376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705196800).

468425376 is an abundant number, since it is smaller than the sum of its proper divisors (941968224).

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

468425376 is a wasteful number, since it uses less digits than its factorization.

468425376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17539 (or 17525 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 468425376 is about 21643.1369260558. The cubic root of 468425376 is about 776.6287637893.

The spelling of 468425376 in words is "four hundred sixty-eight million, four hundred twenty-five thousand, three hundred seventy-six".