469045440 has 336 divisors, whose sum is σ = 1724119488. Its totient is φ = 116785152.

The previous prime is 469045429. The next prime is 469045471. The reversal of 469045440 is 44540964.

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 = 469045395 and 469045404.

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 47 ways as a sum of consecutive naturals, for example, 4835472 + ... + 4835568.

It is an arithmetic number, because the mean of its divisors is an integer number (5131308).

Almost surely, 2^469045440 is an apocalyptic number.

469045440 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 469045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862059744).

469045440 is an abundant number, since it is smaller than the sum of its proper divisors (1255074048).

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

469045440 is a wasteful number, since it uses less digits than its factorization.

469045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 469045440 is about 21657.4569144210. The cubic root of 469045440 is about 776.9712923508.

The spelling of 469045440 in words is "four hundred sixty-nine million, forty-five thousand, four hundred forty".