469117440 has 320 divisors, whose sum is σ = 1820776320. Its totient is φ = 113541120.

The previous prime is 469117433. The next prime is 469117457. The reversal of 469117440 is 44711964.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 469117395 and 469117404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760012 + ... + 760628.

It is an arithmetic number, because the mean of its divisors is an integer number (5689926).

Almost surely, 2^469117440 is an apocalyptic number.

469117440 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 469117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910388160).

469117440 is an abundant number, since it is smaller than the sum of its proper divisors (1351658880).

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

469117440 is a wasteful number, since it uses less digits than its factorization.

469117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 469117440 is about 21659.1190956604. The cubic root of 469117440 is about 777.0110461899.

The spelling of 469117440 in words is "four hundred sixty-nine million, one hundred seventeen thousand, four hundred forty".