470473102794240 has 2880 divisors, whose sum is σ = 2185143241881600. Its totient is φ = 96060060794880.

The previous prime is 470473102794217. The next prime is 470473102794349. The reversal of 470473102794240 is 42497201374074.

It is a happy number.

470473102794240 is a `hidden beast` number, since 4 + 7 + 0 + 47 + 3 + 102 + 79 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12284194611 + ... + 12284232909.

It is an arithmetic number, because the mean of its divisors is an integer number (758730292320).

Almost surely, 2^{470473102794240} is an apocalyptic number.

470473102794240 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 470473102794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092571620940800).

470473102794240 is an abundant number, since it is smaller than the sum of its proper divisors (1714670139087360).

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

470473102794240 is a wasteful number, since it uses less digits than its factorization.

470473102794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38395 (or 38360 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 470473102794240 in words is "four hundred seventy trillion, four hundred seventy-three billion, one hundred two million, seven hundred ninety-four thousand, two hundred forty".