467201616 has 160 divisors (see below), whose sum is σ = 1470763008. Its totient is φ = 124753920.

The previous prime is 467201597. The next prime is 467201617. The reversal of 467201616 is 616102764.

It is a super-2 number, since 2×467201616² = 436554699986022912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467201617) 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, 1502101 + ... + 1502411.

Almost surely, 2^467201616 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 467201616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735381504).

467201616 is an abundant number, since it is smaller than the sum of its proper divisors (1003561392).

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

467201616 is a wasteful number, since it uses less digits than its factorization.

467201616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 467201616 is about 21614.8471195149. The cubic root of 467201616 is about 775.9518604778.

The spelling of 467201616 in words is "four hundred sixty-seven million, two hundred one thousand, six hundred sixteen".