463419201001 has 3 divisors (see below), whose sum is σ = 463419881751. Its totient is φ = 463418520252.

The previous prime is 463419200989. The next prime is 463419201023. The reversal of 463419201001 is 100102914364.

The square root of 463419201001 is 680749.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 398730365401 + 64688835600 = 631451^2 + 254340^2 .

It is not a de Polignac number, because 463419201001 - 2¹³ = 463419192809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (463419201061) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 340375 + ... + 1021123.

It is an arithmetic number, because the mean of its divisors is an integer number (154473293917).

Almost surely, 2^463419201001 is an apocalyptic number.

463419201001 is the 680749-th square number.

463419201001 is the 340375-th centered octagonal number.

It is an amenable number.

463419201001 is a deficient number, since it is larger than the sum of its proper divisors (680750).

463419201001 is an frugal number, since it uses more digits than its factorization.

463419201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361498 (or 680749 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 463419201001 in words is "four hundred sixty-three billion, four hundred nineteen million, two hundred one thousand, one".