467802720 has 288 divisors, whose sum is σ = 1990759680. Its totient is φ = 97182720.

The previous prime is 467802677. The next prime is 467802733. The reversal of 467802720 is 27208764.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108771 + ... + 112989.

It is an arithmetic number, because the mean of its divisors is an integer number (6912360).

Almost surely, 2^467802720 is an apocalyptic number.

467802720 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 467802720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995379840).

467802720 is an abundant number, since it is smaller than the sum of its proper divisors (1522956960).

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

467802720 is a wasteful number, since it uses less digits than its factorization.

467802720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4247 counting only the distinct ones).

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

The square root of 467802720 is about 21628.7475365542. The cubic root of 467802720 is about 776.2844990774.

The spelling of 467802720 in words is "four hundred sixty-seven million, eight hundred two thousand, seven hundred twenty".