473906664 has 288 divisors, whose sum is σ = 1701336000. Its totient is φ = 116328960.

The previous prime is 473906627. The next prime is 473906669. The reversal of 473906664 is 466609374.

It is not an unprimeable number, because it can be changed into a prime (473906669) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1158492 + ... + 1158900.

Almost surely, 2^473906664 is an apocalyptic number.

473906664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473906664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850668000).

473906664 is an abundant number, since it is smaller than the sum of its proper divisors (1227429336).

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

473906664 is a wasteful number, since it uses less digits than its factorization.

473906664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 473906664 is about 21769.3974193132. The cubic root of 473906664 is about 779.6462695876.

The spelling of 473906664 in words is "four hundred seventy-three million, nine hundred six thousand, six hundred sixty-four".