467808840 has 96 divisors (see below), whose sum is σ = 1528483320. Its totient is φ = 124084224.

The previous prime is 467808701. The next prime is 467808841. The reversal of 467808840 is 48808764.

It can be written as a sum of positive squares in 4 ways, for example, as 440748036 + 27060804 = 20994^2 + 5202^2 .

It is a super-2 number, since 2×467808840² = 437690221564291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (467808841) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 66114 + ... + 72846.

Almost surely, 2^467808840 is an apocalyptic number.

467808840 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 467808840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764241660).

467808840 is an abundant number, since it is smaller than the sum of its proper divisors (1060674480).

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

467808840 is a wasteful number, since it uses less digits than its factorization.

467808840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6943 (or 6936 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 467808840 is about 21628.8890144640. The cubic root of 467808840 is about 776.2878842939.

The spelling of 467808840 in words is "four hundred sixty-seven million, eight hundred eight thousand, eight hundred forty".