469224000 has 672 divisors, whose sum is σ = 2060448000. Its totient is φ = 101606400.

The previous prime is 469223969. The next prime is 469224001. The reversal of 469224000 is 422964.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (469224001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24695991 + ... + 24696009.

Almost surely, 2^469224000 is an apocalyptic number.

469224000 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 469224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030224000).

469224000 is an abundant number, since it is smaller than the sum of its proper divisors (1591224000).

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

469224000 is a wasteful number, since it uses less digits than its factorization.

469224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 469224000 is about 21661.5788898224. The cubic root of 469224000 is about 777.0698744076.

Adding to 469224000 its reverse (422964), we get a palindrome (469646964).

The spelling of 469224000 in words is "four hundred sixty-nine million, two hundred twenty-four thousand".