473264640 has 320 divisors, whose sum is σ = 1732389120. Its totient is φ = 122388480.

The previous prime is 473264633. The next prime is 473264647. The reversal of 473264640 is 46462374.

473264640 is a `hidden beast` number, since 4 + 7 + 3 + 2 + 6 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (473264633) and next prime (473264647).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 473264595 and 473264604.

It is not an unprimeable number, because it can be changed into a prime (473264647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2833837 + ... + 2834003.

It is an arithmetic number, because the mean of its divisors is an integer number (5413716).

Almost surely, 2^473264640 is an apocalyptic number.

473264640 is a gapful number since it is divisible by the number (40) 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 473264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866194560).

473264640 is an abundant number, since it is smaller than the sum of its proper divisors (1259124480).

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

473264640 is a wasteful number, since it uses less digits than its factorization.

473264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 473264640 is about 21754.6464002521. The cubic root of 473264640 is about 779.2940357933.

The spelling of 473264640 in words is "four hundred seventy-three million, two hundred sixty-four thousand, six hundred forty".