467894880 has 240 divisors, whose sum is σ = 1675840320. Its totient is φ = 122923008.

The previous prime is 467894879. The next prime is 467894891. The reversal of 467894880 is 88498764.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 1023612 + ... + 1024068.

It is an arithmetic number, because the mean of its divisors is an integer number (6982668).

Almost surely, 2^467894880 is an apocalyptic number.

467894880 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 467894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837920160).

467894880 is an abundant number, since it is smaller than the sum of its proper divisors (1207945440).

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

467894880 is a wasteful number, since it uses less digits than its factorization.

467894880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 467894880 is about 21630.8779294785. The cubic root of 467894880 is about 776.3354733299.

The spelling of 467894880 in words is "four hundred sixty-seven million, eight hundred ninety-four thousand, eight hundred eighty".