467332000 has 48 divisors (see below), whose sum is σ = 1148244552. Its totient is φ = 186931200.

The previous prime is 467331983. The next prime is 467332003. The reversal of 467332000 is 233764.

It can be written as a sum of positive squares in 4 ways, for example, as 44782864 + 422549136 = 6692^2 + 20556^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (467332003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54417 + ... + 62416.

Almost surely, 2^467332000 is an apocalyptic number.

467332000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

467332000 is an abundant number, since it is smaller than the sum of its proper divisors (680912552).

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

467332000 is a wasteful number, since it uses less digits than its factorization.

467332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116858 (or 116840 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 467332000 is about 21617.8629841157. The cubic root of 467332000 is about 776.0240365247.

Adding to 467332000 its reverse (233764), we get a palindrome (467565764).

The spelling of 467332000 in words is "four hundred sixty-seven million, three hundred thirty-two thousand".