463229972100 has 405 divisors, whose sum is σ = 1697528944293. Its totient is φ = 105652451520.

The previous prime is 463229971999. The next prime is 463229972119. The reversal of 463229972100 is 1279922364.

The square root of 463229972100 is 680610.

It is a perfect power (a square), and thus also a powerful number.

463229972100 is a `hidden beast` number, since 4 + 632 + 2 + 9 + 9 + 7 + 2 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 166762789956 + 296467182144 = 408366^2 + 544488^2 .

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 134 ways as a sum of consecutive naturals, for example, 1000496469 + ... + 1000496931.

Almost surely, 2^463229972100 is an apocalyptic number.

463229972100 is the 680610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463229972100

463229972100 is an abundant number, since it is smaller than the sum of its proper divisors (1234298972193).

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

463229972100 is an equidigital number, since it uses as much as digits as its factorization.

463229972100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 463229972100 in words is "four hundred sixty-three billion, two hundred twenty-nine million, nine hundred seventy-two thousand, one hundred".