467957080 has 96 divisors (see below), whose sum is σ = 1160373600. Its totient is φ = 169500672.

The previous prime is 467957041. The next prime is 467957081. The reversal of 467957080 is 80759764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 467957080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467957081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331416 + ... + 332824.

It is an arithmetic number, because the mean of its divisors is an integer number (12087225).

Almost surely, 2^467957080 is an apocalyptic number.

467957080 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 467957080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580186800).

467957080 is an abundant number, since it is smaller than the sum of its proper divisors (692416520).

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

467957080 is a wasteful number, since it uses less digits than its factorization.

467957080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 467957080 is about 21632.3156411883. The cubic root of 467957080 is about 776.3698727423.

The spelling of 467957080 in words is "four hundred sixty-seven million, nine hundred fifty-seven thousand, eighty".