467006904 has 256 divisors, whose sum is σ = 1667635200. Its totient is φ = 117697536.

The previous prime is 467006879. The next prime is 467006921. The reversal of 467006904 is 409600764.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451572 + ... + 452604.

It is an arithmetic number, because the mean of its divisors is an integer number (6514200).

Almost surely, 2^467006904 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 467006904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833817600).

467006904 is an abundant number, since it is smaller than the sum of its proper divisors (1200628296).

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

467006904 is a wasteful number, since it uses less digits than its factorization.

467006904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 467006904 is about 21610.3425238935. The cubic root of 467006904 is about 775.8440496830.

The spelling of 467006904 in words is "four hundred sixty-seven million, six thousand, nine hundred four".