469500641280 has 960 divisors, whose sum is σ = 1902478233600. Its totient is φ = 108739952640.

The previous prime is 469500641279. The next prime is 469500641317. The reversal of 469500641280 is 82146005964.

469500641280 is a `hidden beast` number, since 4 + 6 + 9 + 500 + 64 + 1 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559595101 + ... + 559595939.

It is an arithmetic number, because the mean of its divisors is an integer number (1981748160).

Almost surely, 2^469500641280 is an apocalyptic number.

469500641280 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 469500641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951239116800).

469500641280 is an abundant number, since it is smaller than the sum of its proper divisors (1432977592320).

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

469500641280 is a wasteful number, since it uses less digits than its factorization.

469500641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 469500641280 in words is "four hundred sixty-nine billion, five hundred million, six hundred forty-one thousand, two hundred eighty".