469917840 has 240 divisors, whose sum is σ = 1750602240. Its totient is φ = 103864320.

The previous prime is 469917779. The next prime is 469917841. The reversal of 469917840 is 48719964.

It is a tau number, because it is divible by the number of its divisors (240).

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 469917840.

It is not an unprimeable number, because it can be changed into a prime (469917841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363916 + ... + 365204.

It is an arithmetic number, because the mean of its divisors is an integer number (7294176).

Almost surely, 2^469917840 is an apocalyptic number.

469917840 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 469917840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875301120).

469917840 is an abundant number, since it is smaller than the sum of its proper divisors (1280684400).

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

469917840 is a wasteful number, since it uses less digits than its factorization.

469917840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 469917840 is about 21677.5884267600. The cubic root of 469917840 is about 777.4527026711.

The spelling of 469917840 in words is "four hundred sixty-nine million, nine hundred seventeen thousand, eight hundred forty".