465302983680 has 440 divisors, whose sum is σ = 1755169526880. Its totient is φ = 117548236800.

The previous prime is 465302983643. The next prime is 465302983697. The reversal of 465302983680 is 86389203564.

465302983680 is a `hidden beast` number, since 4 + 6 + 530 + 29 + 8 + 3 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7850155 + ... + 7909205.

It is an arithmetic number, because the mean of its divisors is an integer number (3989021652).

Almost surely, 2^465302983680 is an apocalyptic number.

465302983680 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 465302983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877584763440).

465302983680 is an abundant number, since it is smaller than the sum of its proper divisors (1289866543200).

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

465302983680 is a wasteful number, since it uses less digits than its factorization.

465302983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59107 (or 59080 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 465302983680 in words is "four hundred sixty-five billion, three hundred two million, nine hundred eighty-three thousand, six hundred eighty".