467089616 has 80 divisors (see below), whose sum is σ = 1095168000. Its totient is φ = 188521344.

The previous prime is 467089613. The next prime is 467089621. The reversal of 467089616 is 616980764.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467089613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422921 + ... + 424023.

It is an arithmetic number, because the mean of its divisors is an integer number (13689600).

Almost surely, 2^467089616 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 467089616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547584000).

467089616 is an abundant number, since it is smaller than the sum of its proper divisors (628078384).

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

467089616 is a wasteful number, since it uses less digits than its factorization.

467089616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 467089616 is about 21612.2561524705. The cubic root of 467089616 is about 775.8898504512.

The spelling of 467089616 in words is "four hundred sixty-seven million, eighty-nine thousand, six hundred sixteen".