469128048480 has 1728 divisors, whose sum is σ = 2133807556608. Its totient is φ = 91341250560.

The previous prime is 469128048439. The next prime is 469128048491. The reversal of 469128048480 is 84840821964.

It is a happy number.

469128048480 is a `hidden beast` number, since 4 + 6 + 9 + 1 + 2 + 80 + 484 + 80 = 666.

It is a super-2 number, since 2×469128048480² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2223355575 + ... + 2223355785.

It is an arithmetic number, because the mean of its divisors is an integer number (1234842336).

Almost surely, 2^469128048480 is an apocalyptic number.

469128048480 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 469128048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066903778304).

469128048480 is an abundant number, since it is smaller than the sum of its proper divisors (1664679508128).

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

469128048480 is a wasteful number, since it uses less digits than its factorization.

469128048480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 469128048480 in words is "four hundred sixty-nine billion, one hundred twenty-eight million, forty-eight thousand, four hundred eighty".