468487152000 has 1280 divisors, whose sum is σ = 2010529572480. Its totient is φ = 105902899200.

The previous prime is 468487151981. The next prime is 468487152011. The reversal of 468487152000 is 251784864.

468487152000 is a `hidden beast` number, since 46 + 8 + 4 + 87 + 1 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×468487152000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1025135772 + ... + 1025136228.

Almost surely, 2^468487152000 is an apocalyptic number.

468487152000 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 468487152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005264786240).

468487152000 is an abundant number, since it is smaller than the sum of its proper divisors (1542042420480).

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

468487152000 is a wasteful number, since it uses less digits than its factorization.

468487152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 468487152000 in words is "four hundred sixty-eight billion, four hundred eighty-seven million, one hundred fifty-two thousand".