467642120 has 128 divisors (see below), whose sum is σ = 1229385600. Its totient is φ = 158208000.

The previous prime is 467642101. The next prime is 467642173. The reversal of 467642120 is 21246764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755171 + ... + 755789.

It is an arithmetic number, because the mean of its divisors is an integer number (9604575).

Almost surely, 2^467642120 is an apocalyptic number.

467642120 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 467642120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614692800).

467642120 is an abundant number, since it is smaller than the sum of its proper divisors (761743480).

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

467642120 is a wasteful number, since it uses less digits than its factorization.

467642120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 467642120 is about 21625.0345664464. The cubic root of 467642120 is about 776.1956542469.

Adding to 467642120 its reverse (21246764), we get a palindrome (488888884).

It can be divided in two parts, 46764 and 2120, that added together give a palindrome (48884).

The spelling of 467642120 in words is "four hundred sixty-seven million, six hundred forty-two thousand, one hundred twenty".