470888772963120 has 1600 divisors, whose sum is σ = 1799804747980800. Its totient is φ = 113730307891200.

The previous prime is 470888772963083. The next prime is 470888772963121. The reversal of 470888772963120 is 21369277888074.

It is a happy number.

470888772963120 is a `hidden beast` number, since 4 + 7 + 0 + 88 + 87 + 72 + 96 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (470888772963121) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 51559042074 + ... + 51559051206.

It is an arithmetic number, because the mean of its divisors is an integer number (1124877967488).

Almost surely, 2^{470888772963120} is an apocalyptic number.

470888772963120 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 470888772963120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899902373990400).

470888772963120 is an abundant number, since it is smaller than the sum of its proper divisors (1328915975017680).

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

470888772963120 is a wasteful number, since it uses less digits than its factorization.

470888772963120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9440 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 470888772963120 in words is "four hundred seventy trillion, eight hundred eighty-eight billion, seven hundred seventy-two million, nine hundred sixty-three thousand, one hundred twenty".