467200640 has 64 divisors (see below), whose sum is σ = 1119519360. Its totient is φ = 186442752.

The previous prime is 467200621. The next prime is 467200667. The reversal of 467200640 is 46002764.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526277 + ... + 527163.

It is an arithmetic number, because the mean of its divisors is an integer number (17492490).

Almost surely, 2^467200640 is an apocalyptic number.

467200640 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 467200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559759680).

467200640 is an abundant number, since it is smaller than the sum of its proper divisors (652318720).

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

467200640 is an equidigital number, since it uses as much as digits as its factorization.

467200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 467200640 is about 21614.8245424292. The cubic root of 467200640 is about 775.9513201475.

The spelling of 467200640 in words is "four hundred sixty-seven million, two hundred thousand, six hundred forty".