470894824265880 has 512 divisors, whose sum is σ = 1745182581719040. Its totient is φ = 99280231649280.

The previous prime is 470894824265753. The next prime is 470894824265909. The reversal of 470894824265880 is 88562428498074.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168105244 + ... + 170883476.

It is an arithmetic number, because the mean of its divisors is an integer number (3408559729920).

Almost surely, 2^{470894824265880} is an apocalyptic number.

470894824265880 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 470894824265880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872591290859520).

470894824265880 is an abundant number, since it is smaller than the sum of its proper divisors (1274287757453160).

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

470894824265880 is a wasteful number, since it uses less digits than its factorization.

470894824265880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778591 (or 2778587 counting only the distinct ones).

The product of its (nonzero) digits is 1981808640, while the sum is 75.

The spelling of 470894824265880 in words is "four hundred seventy trillion, eight hundred ninety-four billion, eight hundred twenty-four million, two hundred sixty-five thousand, eight hundred eighty".