465487680 has 224 divisors, whose sum is σ = 1706782464. Its totient is φ = 105283584.

The previous prime is 465487679. The next prime is 465487681. The reversal of 465487680 is 86784564.

It is an interprime number because it is at equal distance from previous prime (465487679) and next prime (465487681).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465487681) 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, 759054 + ... + 759666.

Almost surely, 2^465487680 is an apocalyptic number.

465487680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853391232).

465487680 is an abundant number, since it is smaller than the sum of its proper divisors (1241294784).

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

465487680 is a wasteful number, since it uses less digits than its factorization.

465487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 465487680 is about 21575.1634988011. The cubic root of 465487680 is about 775.0018341961.

The spelling of 465487680 in words is "four hundred sixty-five million, four hundred eighty-seven thousand, six hundred eighty".