469812087360 has 896 divisors, whose sum is σ = 2077633843200. Its totient is φ = 97090928640.

The previous prime is 469812087347. The next prime is 469812087419. The reversal of 469812087360 is 63780218964.

469812087360 is a `hidden beast` number, since 469 + 81 + 20 + 87 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 469812087297 and 469812087306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128397211 + ... + 128400869.

Almost surely, 2^469812087360 is an apocalyptic number.

469812087360 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 469812087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038816921600).

469812087360 is an abundant number, since it is smaller than the sum of its proper divisors (1607821755840).

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

469812087360 is a wasteful number, since it uses less digits than its factorization.

469812087360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 469812087360 in words is "four hundred sixty-nine billion, eight hundred twelve million, eighty-seven thousand, three hundred sixty".