463885309440 has 1440 divisors, whose sum is σ = 1970110029888. Its totient is φ = 98736537600.

The previous prime is 463885309421. The next prime is 463885309441. The reversal of 463885309440 is 44903588364.

463885309440 is a `hidden beast` number, since 4 + 63 + 8 + 8 + 530 + 9 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×463885309440² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463885309441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6354593244 + ... + 6354593316.

Almost surely, 2^463885309440 is an apocalyptic number.

463885309440 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 463885309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985055014944).

463885309440 is an abundant number, since it is smaller than the sum of its proper divisors (1506224720448).

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

463885309440 is a wasteful number, since it uses less digits than its factorization.

463885309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 463885309440 in words is "four hundred sixty-three billion, eight hundred eighty-five million, three hundred nine thousand, four hundred forty".