473484000 has 384 divisors, whose sum is σ = 1800175104. Its totient is φ = 107520000.

The previous prime is 473483999. The next prime is 473484001. The reversal of 473484000 is 484374.

It is an interprime number because it is at equal distance from previous prime (473483999) and next prime (473484001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473484001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2243895 + ... + 2244105.

It is an arithmetic number, because the mean of its divisors is an integer number (4687956).

Almost surely, 2^473484000 is an apocalyptic number.

473484000 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 473484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900087552).

473484000 is an abundant number, since it is smaller than the sum of its proper divisors (1326691104).

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

473484000 is a wasteful number, since it uses less digits than its factorization.

473484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 249 counting only the distinct ones).

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

The square root of 473484000 is about 21759.6874977560. The cubic root of 473484000 is about 779.4144191339.

The spelling of 473484000 in words is "four hundred seventy-three million, four hundred eighty-four thousand".