469981440 has 216 divisors, whose sum is σ = 1687428288. Its totient is φ = 125245440.

The previous prime is 469981429. The next prime is 469981531. The reversal of 469981440 is 44189964.

469981440 is a `hidden beast` number, since 46 + 99 + 81 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310285 + ... + 311795.

It is an arithmetic number, because the mean of its divisors is an integer number (7812168).

Almost surely, 2^469981440 is an apocalyptic number.

469981440 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 469981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843714144).

469981440 is an abundant number, since it is smaller than the sum of its proper divisors (1217446848).

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

469981440 is an equidigital number, since it uses as much as digits as its factorization.

469981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 469981440 is about 21679.0553299723. The cubic root of 469981440 is about 777.4877752995.

The spelling of 469981440 in words is "four hundred sixty-nine million, nine hundred eighty-one thousand, four hundred forty".