473909040 has 240 divisors, whose sum is σ = 1770556320. Its totient is φ = 112619520.

The previous prime is 473909011. The next prime is 473909047. The reversal of 473909040 is 40909374.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 473908986 and 473909004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473909047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419196 + ... + 420324.

It is an arithmetic number, because the mean of its divisors is an integer number (7377318).

Almost surely, 2^473909040 is an apocalyptic number.

473909040 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 473909040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885278160).

473909040 is an abundant number, since it is smaller than the sum of its proper divisors (1296647280).

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

473909040 is a wasteful number, since it uses less digits than its factorization.

473909040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 473909040 is about 21769.4519912652. The cubic root of 473909040 is about 779.6475725421.

The spelling of 473909040 in words is "four hundred seventy-three million, nine hundred nine thousand, forty".