467472096 has 144 divisors (see below), whose sum is σ = 1636244064. Its totient is φ = 123282432.

The previous prime is 467472091. The next prime is 467472113. The reversal of 467472096 is 690274764.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467472091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17290 + ... + 35126.

It is an arithmetic number, because the mean of its divisors is an integer number (11362806).

Almost surely, 2^467472096 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 467472096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818122032).

467472096 is an abundant number, since it is smaller than the sum of its proper divisors (1168771968).

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

467472096 is a wasteful number, since it uses less digits than its factorization.

467472096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17873 (or 17862 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 467472096 is about 21621.1030245915. The cubic root of 467472096 is about 776.1015738369.

The spelling of 467472096 in words is "four hundred sixty-seven million, four hundred seventy-two thousand, ninety-six".