463088373840 has 240 divisors, whose sum is σ = 1609872675840. Its totient is φ = 119171727360.

The previous prime is 463088373827. The next prime is 463088373841. The reversal of 463088373840 is 48373880364.

463088373840 is a `hidden beast` number, since 463 + 0 + 88 + 37 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463088373841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7983984 + ... + 8041776.

It is an arithmetic number, because the mean of its divisors is an integer number (6707802816).

Almost surely, 2^463088373840 is an apocalyptic number.

463088373840 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 463088373840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804936337920).

463088373840 is an abundant number, since it is smaller than the sum of its proper divisors (1146784302000).

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

463088373840 is a wasteful number, since it uses less digits than its factorization.

463088373840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58202 (or 58193 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 463088373840 in words is "four hundred sixty-three billion, eighty-eight million, three hundred seventy-three thousand, eight hundred forty".