463741452720 has 2160 divisors, whose sum is σ = 2161806323040. Its totient is φ = 91424858112.

The previous prime is 463741452697. The next prime is 463741452737. The reversal of 463741452720 is 27254147364.

463741452720 is a `hidden beast` number, since 4 + 6 + 374 + 1 + 4 + 5 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×463741452720³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6352622604 + ... + 6352622676.

Almost surely, 2^463741452720 is an apocalyptic number.

463741452720 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 463741452720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080903161520).

463741452720 is an abundant number, since it is smaller than the sum of its proper divisors (1698064870320).

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

463741452720 is a wasteful number, since it uses less digits than its factorization.

463741452720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 463741452720 in words is "four hundred sixty-three billion, seven hundred forty-one million, four hundred fifty-two thousand, seven hundred twenty".