470434242854400 has 3840 divisors, whose sum is σ = 1856012407603200. Its totient is φ = 103912833024000.

The previous prime is 470434242854347. The next prime is 470434242854417. The reversal of 470434242854400 is 4458242434074.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-3 number, since 3×470434242854400³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4849837555152 + ... + 4849837555248.

It is an arithmetic number, because the mean of its divisors is an integer number (483336564480).

Almost surely, 2^{470434242854400} is an apocalyptic number.

470434242854400 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 470434242854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928006203801600).

470434242854400 is an abundant number, since it is smaller than the sum of its proper divisors (1385578164748800).

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

470434242854400 is a wasteful number, since it uses less digits than its factorization.

470434242854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 51.

The spelling of 470434242854400 in words is "four hundred seventy trillion, four hundred thirty-four billion, two hundred forty-two million, eight hundred fifty-four thousand, four hundred".