470061260800 has 672 divisors, whose sum is σ = 1313115798960. Its totient is φ = 166094438400.

The previous prime is 470061260729. The next prime is 470061260803. The reversal of 470061260800 is 8062160074.

It can be written as a sum of positive squares in 24 ways, for example, as 21311328256 + 448749932544 = 145984^2 + 669888^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (470061260803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5281587156 + ... + 5281587244.

Almost surely, 2^470061260800 is an apocalyptic number.

470061260800 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 470061260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656557899480).

470061260800 is an abundant number, since it is smaller than the sum of its proper divisors (843054538160).

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

470061260800 is a wasteful number, since it uses less digits than its factorization.

470061260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 470061260800 in words is "four hundred seventy billion, sixty-one million, two hundred sixty thousand, eight hundred".