469132850304 has 320 divisors, whose sum is σ = 1480761564480. Its totient is φ = 147121920000.

The previous prime is 469132850297. The next prime is 469132850309. The reversal of 469132850304 is 403058231964.

469132850304 is a `hidden beast` number, since 4 + 6 + 9 + 132 + 8 + 503 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 469132850304.

It is not an unprimeable number, because it can be changed into a prime (469132850309) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14530179 + ... + 14562429.

It is an arithmetic number, because the mean of its divisors is an integer number (4627379889).

Almost surely, 2^469132850304 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 469132850304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740380782240).

469132850304 is an abundant number, since it is smaller than the sum of its proper divisors (1011628714176).

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

469132850304 is a wasteful number, since it uses less digits than its factorization.

469132850304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32361 (or 32340 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

It can be divided in two parts, 4691328 and 50304, that added together give a cube (4741632 = 168³).

The spelling of 469132850304 in words is "four hundred sixty-nine billion, one hundred thirty-two million, eight hundred fifty thousand, three hundred four".