467882016 has 48 divisors (see below), whose sum is σ = 1403648064. Its totient is φ = 133680384.

The previous prime is 467881957. The next prime is 467882029. The reversal of 467882016 is 610288764.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347455 + ... + 348798.

It is an arithmetic number, because the mean of its divisors is an integer number (29242668).

Almost surely, 2^467882016 is an apocalyptic number.

It is an amenable number.

467882016 is an abundant number, since it is smaller than the sum of its proper divisors (935766048).

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

467882016 is a wasteful number, since it uses less digits than its factorization.

467882016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696273 (or 696265 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 467882016 is about 21630.5805747326. The cubic root of 467882016 is about 776.3283585758.

The spelling of 467882016 in words is "four hundred sixty-seven million, eight hundred eighty-two thousand, sixteen".