467561124 has 72 divisors (see below), whose sum is σ = 1211438592. Its totient is φ = 151993920.

The previous prime is 467561077. The next prime is 467561167. The reversal of 467561124 is 421165764.

It is a super-3 number, since 3×467561124³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 363787 + ... + 365069.

It is an arithmetic number, because the mean of its divisors is an integer number (16825536).

Almost surely, 2^467561124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467561124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605719296).

467561124 is an abundant number, since it is smaller than the sum of its proper divisors (743877468).

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

467561124 is a wasteful number, since it uses less digits than its factorization.

467561124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1532 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 467561124 is about 21623.1617484585. The cubic root of 467561124 is about 776.1508390841.

The spelling of 467561124 in words is "four hundred sixty-seven million, five hundred sixty-one thousand, one hundred twenty-four".