469434240 has 384 divisors, whose sum is σ = 1833062400. Its totient is φ = 109670400.

The previous prime is 469434233. The next prime is 469434241. The reversal of 469434240 is 42434964.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 469434195 and 469434204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469434241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1964041 + ... + 1964279.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 2^469434240 is an apocalyptic number.

469434240 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 469434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916531200).

469434240 is an abundant number, since it is smaller than the sum of its proper divisors (1363628160).

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

469434240 is a wasteful number, since it uses less digits than its factorization.

469434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 469434240 is about 21666.4311782075. The cubic root of 469434240 is about 777.1859147753.

The spelling of 469434240 in words is "four hundred sixty-nine million, four hundred thirty-four thousand, two hundred forty".