469668000 has 96 divisors (see below), whose sum is σ = 1538671680. Its totient is φ = 125241600.

The previous prime is 469667977. The next prime is 469668007. The reversal of 469668000 is 866964.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 469668000.

It is not an unprimeable number, because it can be changed into a prime (469668007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7570 + ... + 31569.

It is an arithmetic number, because the mean of its divisors is an integer number (16027830).

Almost surely, 2^469668000 is an apocalyptic number.

469668000 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 469668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769335840).

469668000 is an abundant number, since it is smaller than the sum of its proper divisors (1069003680).

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

469668000 is a wasteful number, since it uses less digits than its factorization.

469668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39167 (or 39149 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 469668000 is about 21671.8250269792. The cubic root of 469668000 is about 777.3148961580.

The spelling of 469668000 in words is "four hundred sixty-nine million, six hundred sixty-eight thousand".