473984640 has 384 divisors, whose sum is σ = 1775779200. Its totient is φ = 116121600.

The previous prime is 473984639. The next prime is 473984653. The reversal of 473984640 is 46489374.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×473984640² = 449322877911859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6675805 + ... + 6675875.

It is an arithmetic number, because the mean of its divisors is an integer number (4624425).

Almost surely, 2^473984640 is an apocalyptic number.

473984640 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 473984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887889600).

473984640 is an abundant number, since it is smaller than the sum of its proper divisors (1301794560).

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

473984640 is a wasteful number, since it uses less digits than its factorization.

473984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 473984640 is about 21771.1883001365. The cubic root of 473984640 is about 779.6890279112.

The spelling of 473984640 in words is "four hundred seventy-three million, nine hundred eighty-four thousand, six hundred forty".