468022268520 has 384 divisors, whose sum is σ = 1576214640000. Its totient is φ = 120380442624.

The previous prime is 468022268513. The next prime is 468022268533. The reversal of 468022268520 is 25862220864.

468022268520 is a `hidden beast` number, since 4 + 6 + 80 + 22 + 26 + 8 + 520 = 666.

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 95 ways as a sum of consecutive naturals, for example, 289080271 + ... + 289081889.

It is an arithmetic number, because the mean of its divisors is an integer number (4104725625).

Almost surely, 2^468022268520 is an apocalyptic number.

468022268520 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 468022268520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788107320000).

468022268520 is an abundant number, since it is smaller than the sum of its proper divisors (1108192371480).

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

468022268520 is a wasteful number, since it uses less digits than its factorization.

468022268520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 468022268520 in words is "four hundred sixty-eight billion, twenty-two million, two hundred sixty-eight thousand, five hundred twenty".