467800704 has 256 divisors, whose sum is σ = 1608825600. Its totient is φ = 131051520.

The previous prime is 467800673. The next prime is 467800727. The reversal of 467800704 is 407008764.

It is a happy number.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1475554 + ... + 1475870.

It is an arithmetic number, because the mean of its divisors is an integer number (6284475).

Almost surely, 2^467800704 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 467800704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804412800).

467800704 is an abundant number, since it is smaller than the sum of its proper divisors (1141024896).

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

467800704 is a wasteful number, since it uses less digits than its factorization.

467800704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 467800704 is about 21628.7009318637. The cubic root of 467800704 is about 776.2833839408.

The spelling of 467800704 in words is "four hundred sixty-seven million, eight hundred thousand, seven hundred four".