467222448 has 120 divisors (see below), whose sum is σ = 1531776960. Its totient is φ = 121349760.

The previous prime is 467222419. The next prime is 467222449. The reversal of 467222448 is 844222764.

It is a super-2 number, since 2×467222448² = 436593631830225408, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (467222449) 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, 16843 + ... + 34901.

It is an arithmetic number, because the mean of its divisors is an integer number (12764808).

Almost surely, 2^467222448 is an apocalyptic number.

467222448 is a gapful number since it is divisible by the number (48) 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 467222448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765888480).

467222448 is an abundant number, since it is smaller than the sum of its proper divisors (1064554512).

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

467222448 is a wasteful number, since it uses less digits than its factorization.

467222448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18095 (or 18082 counting only the distinct ones).

The product of its digits is 172032, while the sum is 39.

The square root of 467222448 is about 21615.3290051297. The cubic root of 467222448 is about 775.9633932496.

The spelling of 467222448 in words is "four hundred sixty-seven million, two hundred twenty-two thousand, four hundred forty-eight".