468124526960 has 160 divisors (see below), whose sum is σ = 1170627075072. Its totient is φ = 173470371840.

The previous prime is 468124526957. The next prime is 468124526963. The reversal of 468124526960 is 69625421864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (468124526957) and next prime (468124526963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468124526963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23383355 + ... + 23403365.

Almost surely, 2^468124526960 is an apocalyptic number.

468124526960 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 468124526960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585313537536).

468124526960 is an abundant number, since it is smaller than the sum of its proper divisors (702502548112).

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

468124526960 is a wasteful number, since it uses less digits than its factorization.

468124526960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20311 (or 20305 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 53.

The spelling of 468124526960 in words is "four hundred sixty-eight billion, one hundred twenty-four million, five hundred twenty-six thousand, nine hundred sixty".