467249200 has 120 divisors (see below), whose sum is σ = 1237706496. Its totient is φ = 168096000.

The previous prime is 467249191. The next prime is 467249201. The reversal of 467249200 is 2942764.

It is not an unprimeable number, because it can be changed into a prime (467249201) 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, 452685 + ... + 453715.

Almost surely, 2^467249200 is an apocalyptic number.

467249200 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 467249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618853248).

467249200 is an abundant number, since it is smaller than the sum of its proper divisors (770457296).

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

467249200 is a wasteful number, since it uses less digits than its factorization.

467249200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 467249200 is about 21615.9478163693. The cubic root of 467249200 is about 775.9782028809.

The spelling of 467249200 in words is "four hundred sixty-seven million, two hundred forty-nine thousand, two hundred".