468650100 has 72 divisors (see below), whose sum is σ = 1369474848. Its totient is φ = 123728000.

The previous prime is 468650099. The next prime is 468650107. The reversal of 468650100 is 1056864.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468650107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22567 + ... + 38033.

It is an arithmetic number, because the mean of its divisors is an integer number (19020484).

Almost surely, 2^468650100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468650100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684737424).

468650100 is an abundant number, since it is smaller than the sum of its proper divisors (900824748).

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

468650100 is a wasteful number, since it uses less digits than its factorization.

468650100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15585 (or 15578 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 468650100 is about 21648.3278800003. The cubic root of 468650100 is about 776.7529381184.

The spelling of 468650100 in words is "four hundred sixty-eight million, six hundred fifty thousand, one hundred".