467843040 has 384 divisors, whose sum is σ = 1904394240. Its totient is φ = 106375680.

The previous prime is 467843039. The next prime is 467843063. The reversal of 467843040 is 40348764.

It is a super-2 number, since 2×467843040² = 437754220152883200, which contains 22 as substring.

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 = 467842986 and 467843004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2449345 + ... + 2449535.

It is an arithmetic number, because the mean of its divisors is an integer number (4959360).

Almost surely, 2^467843040 is an apocalyptic number.

467843040 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 467843040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952197120).

467843040 is an abundant number, since it is smaller than the sum of its proper divisors (1436551200).

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

467843040 is an equidigital number, since it uses as much as digits as its factorization.

467843040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 467843040 is about 21629.6796092776. The cubic root of 467843040 is about 776.3068011366.

The spelling of 467843040 in words is "four hundred sixty-seven million, eight hundred forty-three thousand, forty".