470849653440 has 168 divisors, whose sum is σ = 1621381984560. Its totient is φ = 125416065024.

The previous prime is 470849653399. The next prime is 470849653441. The reversal of 470849653440 is 44356948074.

470849653440 is a `hidden beast` number, since 4 + 70 + 84 + 9 + 6 + 53 + 440 = 666.

It is a super-2 number, since 2×470849653440² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (470849653441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2432551 + ... + 2618969.

Almost surely, 2^470849653440 is an apocalyptic number.

470849653440 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 470849653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810690992280).

470849653440 is an abundant number, since it is smaller than the sum of its proper divisors (1150532331120).

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

470849653440 is a wasteful number, since it uses less digits than its factorization.

470849653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187319 (or 187306 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 470849653440 in words is "four hundred seventy billion, eight hundred forty-nine million, six hundred fifty-three thousand, four hundred forty".