467741120 has 224 divisors, whose sum is σ = 1425586176. Its totient is φ = 141926400.

The previous prime is 467741119. The next prime is 467741177. The reversal of 467741120 is 21147764.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010009 + ... + 1010471.

It is an arithmetic number, because the mean of its divisors is an integer number (6364224).

Almost surely, 2^467741120 is an apocalyptic number.

467741120 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 467741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712793088).

467741120 is an abundant number, since it is smaller than the sum of its proper divisors (957845056).

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

467741120 is a wasteful number, since it uses less digits than its factorization.

467741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 467741120 is about 21627.3234589951. The cubic root of 467741120 is about 776.2504240124.

Adding to 467741120 its reverse (21147764), we get a palindrome (488888884).

The spelling of 467741120 in words is "four hundred sixty-seven million, seven hundred forty-one thousand, one hundred twenty".