469200000 has 384 divisors, whose sum is σ = 1721139840. Its totient is φ = 112640000.

The previous prime is 469199999. The next prime is 469200001. The reversal of 469200000 is 2964.

It is an interprime number because it is at equal distance from previous prime (469199999) and next prime (469200001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 469200000.

It is not an unprimeable number, because it can be changed into a prime (469200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20399989 + ... + 20400011.

It is an arithmetic number, because the mean of its divisors is an integer number (4482135).

Almost surely, 2^469200000 is an apocalyptic number.

469200000 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 469200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860569920).

469200000 is an abundant number, since it is smaller than the sum of its proper divisors (1251939840).

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

469200000 is an equidigital number, since it uses as much as digits as its factorization.

469200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 469200000 is about 21661.0249064997. The cubic root of 469200000 is about 777.0566255862.

Adding to 469200000 its reverse (2964), we get a palindrome (469202964).

The spelling of 469200000 in words is "four hundred sixty-nine million, two hundred thousand".