470843151609600 has 5184 divisors, whose sum is σ = 2273258462146560. Its totient is φ = 94197841920000.

The previous prime is 470843151609583. The next prime is 470843151609641. The reversal of 470843151609600 is 6906151348074.

470843151609600 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 4 + 3 + 15 + 16 + 0 + 9 + 600 = 666.

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 575 ways as a sum of consecutive naturals, for example, 903729657340 + ... + 903729657860.

It is an arithmetic number, because the mean of its divisors is an integer number (438514363840).

Almost surely, 2^{470843151609600} is an apocalyptic number.

470843151609600 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 470843151609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136629231073280).

470843151609600 is an abundant number, since it is smaller than the sum of its proper divisors (1802415310536960).

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

470843151609600 is a wasteful number, since it uses less digits than its factorization.

470843151609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 470843151609600 in words is "four hundred seventy trillion, eight hundred forty-three billion, one hundred fifty-one million, six hundred nine thousand, six hundred".