467375200 has 144 divisors (see below), whose sum is σ = 1186236576. Its totient is φ = 179712000.

The previous prime is 467375131. The next prime is 467375201. The reversal of 467375200 is 2573764.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467375201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3095125 + ... + 3095275.

It is an arithmetic number, because the mean of its divisors is an integer number (8237754).

Almost surely, 2^467375200 is an apocalyptic number.

467375200 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 467375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593118288).

467375200 is an abundant number, since it is smaller than the sum of its proper divisors (718861376).

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

467375200 is a wasteful number, since it uses less digits than its factorization.

467375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 467375200 is about 21618.8621347193. The cubic root of 467375200 is about 776.0479475812.

The spelling of 467375200 in words is "four hundred sixty-seven million, three hundred seventy-five thousand, two hundred".