468121000 has 32 divisors (see below), whose sum is σ = 1095405480. Its totient is φ = 187248000.

The previous prime is 468120997. The next prime is 468121007. The reversal of 468121000 is 121864.

It can be written as a sum of positive squares in 4 ways, for example, as 204318436 + 263802564 = 14294^2 + 16242^2 .

It is not an unprimeable number, because it can be changed into a prime (468121007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233061 + ... + 235060.

Almost surely, 2^468121000 is an apocalyptic number.

468121000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468121000 is an abundant number, since it is smaller than the sum of its proper divisors (627284480).

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

468121000 is a wasteful number, since it uses less digits than its factorization.

468121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468142 (or 468128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 468121000 is about 21636.1040855326. The cubic root of 468121000 is about 776.4605133148.

Adding to 468121000 its reverse (121864), we get a palindrome (468242864).

The spelling of 468121000 in words is "four hundred sixty-eight million, one hundred twenty-one thousand".