467340000 has 120 divisors (see below), whose sum is σ = 1533165480. Its totient is φ = 124608000.

The previous prime is 467339969. The next prime is 467340001. The reversal of 467340000 is 43764.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467340001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56106 + ... + 63894.

It is an arithmetic number, because the mean of its divisors is an integer number (12776379).

Almost surely, 2^467340000 is an apocalyptic number.

467340000 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 467340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766582740).

467340000 is an abundant number, since it is smaller than the sum of its proper divisors (1065825480).

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

467340000 is an equidigital number, since it uses as much as digits as its factorization.

467340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7822 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 467340000 is about 21618.0480154893. The cubic root of 467340000 is about 776.0284646093.

Adding to 467340000 its reverse (43764), we get a palindrome (467383764).

The spelling of 467340000 in words is "four hundred sixty-seven million, three hundred forty thousand".