467680632 has 128 divisors (see below), whose sum is σ = 1250304000. Its totient is φ = 145566720.

The previous prime is 467680589. The next prime is 467680637. The reversal of 467680632 is 236086764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467680637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4290594 + ... + 4290702.

It is an arithmetic number, because the mean of its divisors is an integer number (9768000).

Almost surely, 2^467680632 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 467680632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625152000).

467680632 is an abundant number, since it is smaller than the sum of its proper divisors (782623368).

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

467680632 is a wasteful number, since it uses less digits than its factorization.

467680632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 467680632 is about 21625.9249975579. The cubic root of 467680632 is about 776.2169611574.

The spelling of 467680632 in words is "four hundred sixty-seven million, six hundred eighty thousand, six hundred thirty-two".