463301233920 has 864 divisors, whose sum is σ = 2011735934208. Its totient is φ = 99660201984.

The previous prime is 463301233909. The next prime is 463301233931. The reversal of 463301233920 is 29332103364.

463301233920 is a `hidden beast` number, since 4 + 6 + 330 + 1 + 233 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (463301233909) and next prime (463301233931).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37007502 + ... + 37020018.

It is an arithmetic number, because the mean of its divisors is an integer number (2328398072).

Almost surely, 2^463301233920 is an apocalyptic number.

463301233920 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 463301233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005867967104).

463301233920 is an abundant number, since it is smaller than the sum of its proper divisors (1548434700288).

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

463301233920 is a wasteful number, since it uses less digits than its factorization.

463301233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12577 (or 12551 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 463301233920 in words is "four hundred sixty-three billion, three hundred one million, two hundred thirty-three thousand, nine hundred twenty".