463909501440 has 1920 divisors, whose sum is σ = 2117898731520. Its totient is φ = 91039334400.

The previous prime is 463909501361. The next prime is 463909501441. The reversal of 463909501440 is 44105909364.

463909501440 is a `hidden beast` number, since 4 + 639 + 0 + 9 + 5 + 0 + 1 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (463909501441) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3652830657 + ... + 3652830783.

It is an arithmetic number, because the mean of its divisors is an integer number (1103072256).

Almost surely, 2^463909501440 is an apocalyptic number.

463909501440 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 463909501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058949365760).

463909501440 is an abundant number, since it is smaller than the sum of its proper divisors (1653989230080).

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

463909501440 is a wasteful number, since it uses less digits than its factorization.

463909501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 463909501440 in words is "four hundred sixty-three billion, nine hundred nine million, five hundred one thousand, four hundred forty".