469822528032 has 576 divisors, whose sum is σ = 1559658240000. Its totient is φ = 122041221120.

The previous prime is 469822528027. The next prime is 469822528037. The reversal of 469822528032 is 230825228964.

It is an interprime number because it is at equal distance from previous prime (469822528027) and next prime (469822528037).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (469822528037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313423219 + ... + 313424717.

It is an arithmetic number, because the mean of its divisors is an integer number (2707740000).

Almost surely, 2^469822528032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469822528032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779829120000).

469822528032 is an abundant number, since it is smaller than the sum of its proper divisors (1089835711968).

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

469822528032 is a wasteful number, since it uses less digits than its factorization.

469822528032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 469822528032 in words is "four hundred sixty-nine billion, eight hundred twenty-two million, five hundred twenty-eight thousand, thirty-two".