466487616 has 168 divisors, whose sum is σ = 1499672896. Its totient is φ = 125337600.

The previous prime is 466487611. The next prime is 466487621. The reversal of 466487616 is 616784664.

It is an interprime number because it is at equal distance from previous prime (466487611) and next prime (466487621).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×466487616² = 435221391762726912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466487611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387816 + ... + 389016.

Almost surely, 2^466487616 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 466487616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749836448).

466487616 is an abundant number, since it is smaller than the sum of its proper divisors (1033185280).

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

466487616 is a wasteful number, since it uses less digits than its factorization.

466487616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1230 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 466487616 is about 21598.3243794513. The cubic root of 466487616 is about 775.5563766147.

The spelling of 466487616 in words is "four hundred sixty-six million, four hundred eighty-seven thousand, six hundred sixteen".