468245100480 has 224 divisors, whose sum is σ = 1586153352960. Its totient is φ = 116622704640.

The previous prime is 468245100461. The next prime is 468245100503. The reversal of 468245100480 is 84001542864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2028411 + ... + 2247429.

Almost surely, 2^468245100480 is an apocalyptic number.

468245100480 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 468245100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793076676480).

468245100480 is an abundant number, since it is smaller than the sum of its proper divisors (1117908252480).

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

468245100480 is a wasteful number, since it uses less digits than its factorization.

468245100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219187 (or 219177 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 468245100480 in words is "four hundred sixty-eight billion, two hundred forty-five million, one hundred thousand, four hundred eighty".