468149900 has 72 divisors (see below), whose sum is σ = 1079566320. Its totient is φ = 175875840.

The previous prime is 468149887. The next prime is 468149917. The reversal of 468149900 is 9941864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105119 + ... + 109481.

Almost surely, 2^468149900 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 468149900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539783160).

468149900 is an abundant number, since it is smaller than the sum of its proper divisors (611416420).

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

468149900 is a wasteful number, since it uses less digits than its factorization.

468149900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 468149900 is about 21636.7719403796. The cubic root of 468149900 is about 776.4764915534.

The spelling of 468149900 in words is "four hundred sixty-eight million, one hundred forty-nine thousand, nine hundred".