473667264 has 336 divisors, whose sum is σ = 1701190400. Its totient is φ = 127650816.

The previous prime is 473667251. The next prime is 473667319. The reversal of 473667264 is 462766374.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2068302 + ... + 2068530.

Almost surely, 2^473667264 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 473667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850595200).

473667264 is an abundant number, since it is smaller than the sum of its proper divisors (1227523136).

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

473667264 is a wasteful number, since it uses less digits than its factorization.

473667264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 260 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 473667264 is about 21763.8981802434. The cubic root of 473667264 is about 779.5149647203.

The spelling of 473667264 in words is "four hundred seventy-three million, six hundred sixty-seven thousand, two hundred sixty-four".