469038024000 has 1344 divisors, whose sum is σ = 2187008957952. Its totient is φ = 93118464000.

The previous prime is 469038023977. The next prime is 469038024001. The reversal of 469038024000 is 420830964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469038024001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111381895 + ... + 111386105.

It is an arithmetic number, because the mean of its divisors is an integer number (1627238808).

Almost surely, 2^469038024000 is an apocalyptic number.

469038024000 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 469038024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093504478976).

469038024000 is an abundant number, since it is smaller than the sum of its proper divisors (1717970933952).

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

469038024000 is a wasteful number, since it uses less digits than its factorization.

469038024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 469038024000 its reverse (420830964), we get a palindrome (469458854964).

The spelling of 469038024000 in words is "four hundred sixty-nine billion, thirty-eight million, twenty-four thousand".