463460228000 has 960 divisors, whose sum is σ = 1498416506496. Its totient is φ = 139614720000.

The previous prime is 463460227987. The next prime is 463460228053. The reversal of 463460228000 is 822064364.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4331403947 + ... + 4331404053.

Almost surely, 2^463460228000 is an apocalyptic number.

463460228000 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 463460228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749208253248).

463460228000 is an abundant number, since it is smaller than the sum of its proper divisors (1034956278496).

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

463460228000 is a wasteful number, since it uses less digits than its factorization.

463460228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 463460228000 in words is "four hundred sixty-three billion, four hundred sixty million, two hundred twenty-eight thousand".