469722240 has 640 divisors, whose sum is σ = 1959415920. Its totient is φ = 106168320.

The previous prime is 469722217. The next prime is 469722263. The reversal of 469722240 is 42227964.

It is an interprime number because it is at equal distance from previous prime (469722217) and next prime (469722263).

It can be written as a sum of positive squares in 8 ways, for example, as 66194496 + 403527744 = 8136^2 + 20088^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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 junction number, because it is equal to n+sod(n) for n = 469722195 and 469722204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11456620 + ... + 11456660.

Almost surely, 2^469722240 is an apocalyptic number.

469722240 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 469722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979707960).

469722240 is an abundant number, since it is smaller than the sum of its proper divisors (1489693680).

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

469722240 is a wasteful number, since it uses less digits than its factorization.

469722240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 469722240 is about 21673.0763852297. The cubic root of 469722240 is about 777.3448179589.

The spelling of 469722240 in words is "four hundred sixty-nine million, seven hundred twenty-two thousand, two hundred forty".