471111264 has 144 divisors (see below), whose sum is σ = 1492873200. Its totient is φ = 139926528.

The previous prime is 471111257. The next prime is 471111271. The reversal of 471111264 is 462111174.

It is an interprime number because it is at equal distance from previous prime (471111257) and next prime (471111271).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106407 + ... + 110745.

It is an arithmetic number, because the mean of its divisors is an integer number (10367175).

Almost surely, 2^471111264 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 471111264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746436600).

471111264 is an abundant number, since it is smaller than the sum of its proper divisors (1021761936).

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

471111264 is a wasteful number, since it uses less digits than its factorization.

471111264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4386 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 471111264 is about 21705.0976500913. The cubic root of 471111264 is about 778.1102973174.

The spelling of 471111264 in words is "four hundred seventy-one million, one hundred eleven thousand, two hundred sixty-four".