467217120 has 192 divisors, whose sum is σ = 1609445376. Its totient is φ = 113418240.

The previous prime is 467217073. The next prime is 467217187. The reversal of 467217120 is 21712764.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252037 + ... + 253883.

It is an arithmetic number, because the mean of its divisors is an integer number (8382528).

Almost surely, 2^467217120 is an apocalyptic number.

467217120 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 467217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804722688).

467217120 is an abundant number, since it is smaller than the sum of its proper divisors (1142228256).

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

467217120 is a wasteful number, since it uses less digits than its factorization.

467217120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 467217120 is about 21615.2057589096. The cubic root of 467217120 is about 775.9604436562.

Adding to 467217120 its reverse (21712764), we get a palindrome (488929884).

The spelling of 467217120 in words is "four hundred sixty-seven million, two hundred seventeen thousand, one hundred twenty".