469968240 has 160 divisors (see below), whose sum is σ = 1705890816. Its totient is φ = 104785920.

The previous prime is 469968221. The next prime is 469968293. The reversal of 469968240 is 42869964.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 469968240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65469 + ... + 72291.

Almost surely, 2^469968240 is an apocalyptic number.

469968240 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 469968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852945408).

469968240 is an abundant number, since it is smaller than the sum of its proper divisors (1235922576).

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

469968240 is a wasteful number, since it uses less digits than its factorization.

469968240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 469968240 is about 21678.7508865248. The cubic root of 469968240 is about 777.4804963350.

The spelling of 469968240 in words is "four hundred sixty-nine million, nine hundred sixty-eight thousand, two hundred forty".