467434152 has 160 divisors (see below), whose sum is σ = 1386950400. Its totient is φ = 146779776.

The previous prime is 467434139. The next prime is 467434199. The reversal of 467434152 is 251434764.

467434152 is a `hidden beast` number, since 467 + 43 + 4 + 152 = 666.

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

Its product of digits (80640) is a multiple of the sum of its prime divisors (504).

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 39 ways as a sum of consecutive naturals, for example, 1177218 + ... + 1177614.

It is an arithmetic number, because the mean of its divisors is an integer number (8668440).

Almost surely, 2^467434152 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 467434152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693475200).

467434152 is an abundant number, since it is smaller than the sum of its proper divisors (919516248).

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

467434152 is a wasteful number, since it uses less digits than its factorization.

467434152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 504 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 467434152 is about 21620.2255307386. The cubic root of 467434152 is about 776.0805749401.

The spelling of 467434152 in words is "four hundred sixty-seven million, four hundred thirty-four thousand, one hundred fifty-two".