469620000 has 180 divisors, whose sum is σ = 1669457790. Its totient is φ = 125184000.

The previous prime is 469619993. The next prime is 469620001. The reversal of 469620000 is 26964.

It can be written as a sum of positive squares in 5 ways, for example, as 4613904 + 465006096 = 2148^2 + 21564^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (469620001) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 178696 + ... + 181304.

Almost surely, 2^469620000 is an apocalyptic number.

469620000 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 469620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834728895).

469620000 is an abundant number, since it is smaller than the sum of its proper divisors (1199837790).

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

469620000 is a wasteful number, since it uses less digits than its factorization.

469620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 469620000 is about 21670.7175700298. The cubic root of 469620000 is about 777.2884147668.

Adding to 469620000 its reverse (26964), we get a palindrome (469646964).

The spelling of 469620000 in words is "four hundred sixty-nine million, six hundred twenty thousand".