467838504 has 160 divisors (see below), whose sum is σ = 1585932480. Its totient is φ = 125784576.

The previous prime is 467838499. The next prime is 467838551. The reversal of 467838504 is 405838764.

467838504 is a `hidden beast` number, since 4 + 67 + 83 + 8 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 467838504.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74079 + ... + 80145.

It is an arithmetic number, because the mean of its divisors is an integer number (9912078).

Almost surely, 2^467838504 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 467838504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792966240).

467838504 is an abundant number, since it is smaller than the sum of its proper divisors (1118093976).

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

467838504 is a wasteful number, since it uses less digits than its factorization.

467838504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6109 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 467838504 is about 21629.5747531014. The cubic root of 467838504 is about 776.3042922189.

The spelling of 467838504 in words is "four hundred sixty-seven million, eight hundred thirty-eight thousand, five hundred four".