469366560 has 144 divisors (see below), whose sum is σ = 1724990904. Its totient is φ = 115531776.

The previous prime is 469366529. The next prime is 469366561. The reversal of 469366560 is 65663964.

It can be written as a sum of positive squares in 4 ways, for example, as 269879184 + 199487376 = 16428^2 + 14124^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (469366561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6184 + ... + 31256.

Almost surely, 2^469366560 is an apocalyptic number.

469366560 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 469366560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862495452).

469366560 is an abundant number, since it is smaller than the sum of its proper divisors (1255624344).

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

469366560 is a wasteful number, since it uses less digits than its factorization.

469366560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25107 (or 25096 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 469366560 is about 21664.8692587793. The cubic root of 469366560 is about 777.1485630966.

It can be divided in two parts, 4693 and 66560, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 469366560 in words is "four hundred sixty-nine million, three hundred sixty-six thousand, five hundred sixty".