467279264 has 48 divisors (see below), whose sum is σ = 949511808. Its totient is φ = 226240512.

The previous prime is 467279261. The next prime is 467279279. The reversal of 467279264 is 462972764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (467279261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144287 + ... + 147489.

It is an arithmetic number, because the mean of its divisors is an integer number (19781496).

Almost surely, 2^467279264 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 467279264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474755904).

467279264 is an abundant number, since it is smaller than the sum of its proper divisors (482232544).

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

467279264 is a wasteful number, since it uses less digits than its factorization.

467279264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3349 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 47.

The square root of 467279264 is about 21616.6432176691. The cubic root of 467279264 is about 775.9948453266.

The spelling of 467279264 in words is "four hundred sixty-seven million, two hundred seventy-nine thousand, two hundred sixty-four".