469312704000 has 1280 divisors, whose sum is σ = 2010042777600. Its totient is φ = 107047526400.

The previous prime is 469312703953. The next prime is 469312704011. The reversal of 469312704000 is 407213964.

469312704000 is a `hidden beast` number, since 46 + 93 + 127 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 979775761 + ... + 979776239.

It is an arithmetic number, because the mean of its divisors is an integer number (1570345920).

Almost surely, 2^469312704000 is an apocalyptic number.

469312704000 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 469312704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005021388800).

469312704000 is an abundant number, since it is smaller than the sum of its proper divisors (1540730073600).

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

469312704000 is an frugal number, since it uses more digits than its factorization.

469312704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 469312704000 its reverse (407213964), we get a palindrome (469719917964).

The spelling of 469312704000 in words is "four hundred sixty-nine billion, three hundred twelve million, seven hundred four thousand".