473542784 has 128 divisors (see below), whose sum is σ = 1137144960. Its totient is φ = 193536000.

The previous prime is 473542781. The next prime is 473542787. The reversal of 473542784 is 487245374.

It is an interprime number because it is at equal distance from previous prime (473542781) and next prime (473542787).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (473542781) 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 15 ways as a sum of consecutive naturals, for example, 750149 + ... + 750779.

It is an arithmetic number, because the mean of its divisors is an integer number (8883945).

Almost surely, 2^473542784 is an apocalyptic number.

473542784 is a gapful number since it is divisible by the number (44) 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 473542784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568572480).

473542784 is an abundant number, since it is smaller than the sum of its proper divisors (663602176).

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

473542784 is a wasteful number, since it uses less digits than its factorization.

473542784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 698 counting only the distinct ones).

The product of its digits is 752640, while the sum is 44.

The square root of 473542784 is about 21761.0382105266. The cubic root of 473542784 is about 779.4466730934.

The spelling of 473542784 in words is "four hundred seventy-three million, five hundred forty-two thousand, seven hundred eighty-four".