469503360 has 192 divisors, whose sum is σ = 1665827280. Its totient is φ = 121761792.

The previous prime is 469503343. The next prime is 469503367. The reversal of 469503360 is 63305964.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469503367) 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, 212019 + ... + 214221.

Almost surely, 2^469503360 is an apocalyptic number.

469503360 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 469503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832913640).

469503360 is an abundant number, since it is smaller than the sum of its proper divisors (1196323920).

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

469503360 is a wasteful number, since it uses less digits than its factorization.

469503360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 469503360 is about 21668.0262137556. The cubic root of 469503360 is about 777.2240574653.

The spelling of 469503360 in words is "four hundred sixty-nine million, five hundred three thousand, three hundred sixty".