467043840 has 320 divisors, whose sum is σ = 1723550400. Its totient is φ = 119734272.

The previous prime is 467043827. The next prime is 467043847. The reversal of 467043840 is 48340764.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 467043795 and 467043804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467043847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004364 + ... + 2004596.

It is an arithmetic number, because the mean of its divisors is an integer number (5386095).

Almost surely, 2^467043840 is an apocalyptic number.

467043840 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 467043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861775200).

467043840 is an abundant number, since it is smaller than the sum of its proper divisors (1256506560).

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

467043840 is a wasteful number, since it uses less digits than its factorization.

467043840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

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

The square root of 467043840 is about 21611.1970978009. The cubic root of 467043840 is about 775.8645032138.

The spelling of 467043840 in words is "four hundred sixty-seven million, forty-three thousand, eight hundred forty".