463297029888 has 1152 divisors, whose sum is σ = 1693679984640. Its totient is φ = 108787138560.

The previous prime is 463297029887. The next prime is 463297029893. The reversal of 463297029888 is 888920792364.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463297029887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4329878731 + ... + 4329878837.

It is an arithmetic number, because the mean of its divisors is an integer number (1470208320).

Almost surely, 2^463297029888 is an apocalyptic number.

463297029888 is a gapful number since it is divisible by the number (48) 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 463297029888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846839992320).

463297029888 is an abundant number, since it is smaller than the sum of its proper divisors (1230382954752).

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

463297029888 is a wasteful number, since it uses less digits than its factorization.

463297029888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 463297029888 in words is "four hundred sixty-three billion, two hundred ninety-seven million, twenty-nine thousand, eight hundred eighty-eight".