470417891328 has 1344 divisors, whose sum is σ = 1829611499520. Its totient is φ = 118244966400.

The previous prime is 470417891311. The next prime is 470417891329. The reversal of 470417891328 is 823198714074.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470417891329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15174770673 + ... + 15174770703.

It is an arithmetic number, because the mean of its divisors is an integer number (1361318080).

Almost surely, 2^470417891328 is an apocalyptic number.

470417891328 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 470417891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914805749760).

470417891328 is an abundant number, since it is smaller than the sum of its proper divisors (1359193608192).

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

470417891328 is an frugal number, since it uses more digits than its factorization.

470417891328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 470417891328 in words is "four hundred seventy billion, four hundred seventeen million, eight hundred ninety-one thousand, three hundred twenty-eight".