463264421251600 has 30 divisors (see below), whose sum is σ = 1112992772057930. Its totient is φ = 185305768500480.

The previous prime is 463264421251543. The next prime is 463264421251601. The reversal of 463264421251600 is 6152124462364.

It can be written as a sum of positive squares in 3 ways, for example, as 30162371552784 + 433102049698816 = 5492028^2 + 20811104^2 .

It is a super-2 number, since 2×463264421251600² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (463264421251601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 579080526165 + ... + 579080526964.

Almost surely, 2^{463264421251600} is an apocalyptic number.

463264421251600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463264421251600 is an abundant number, since it is smaller than the sum of its proper divisors (649728350806330).

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

463264421251600 is a wasteful number, since it uses less digits than its factorization.

463264421251600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158161053147 (or 1158161053136 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 463264421251600 in words is "four hundred sixty-three trillion, two hundred sixty-four billion, four hundred twenty-one million, two hundred fifty-one thousand, six hundred".