473129905248 has 1152 divisors, whose sum is σ = 1947510190080. Its totient is φ = 109734912000.

The previous prime is 473129905229. The next prime is 473129905271. The reversal of 473129905248 is 842509921374.

473129905248 is a `hidden beast` number, since 4 + 7 + 3 + 1 + 29 + 90 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 473129905194 and 473129905203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 187674228 + ... + 187676748.

It is an arithmetic number, because the mean of its divisors is an integer number (1690547040).

Almost surely, 2^473129905248 is an apocalyptic number.

473129905248 is a gapful number since it is divisible by the number (48) 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 473129905248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973755095040).

473129905248 is an abundant number, since it is smaller than the sum of its proper divisors (1474380284832).

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

473129905248 is a wasteful number, since it uses less digits than its factorization.

473129905248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 473129905248 in words is "four hundred seventy-three billion, one hundred twenty-nine million, nine hundred five thousand, two hundred forty-eight".