473802240 has 320 divisors, whose sum is σ = 1697034240. Its totient is φ = 112066560.

The previous prime is 473802239. The next prime is 473802281. The reversal of 473802240 is 42208374.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 473802198 and 473802207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2480545 + ... + 2480735.

It is an arithmetic number, because the mean of its divisors is an integer number (5303232).

Almost surely, 2^473802240 is an apocalyptic number.

473802240 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 473802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848517120).

473802240 is an abundant number, since it is smaller than the sum of its proper divisors (1223232000).

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

473802240 is a wasteful number, since it uses less digits than its factorization.

473802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 473802240 is about 21766.9988744429. The cubic root of 473802240 is about 779.5890010938.

The spelling of 473802240 in words is "four hundred seventy-three million, eight hundred two thousand, two hundred forty".