468049816 has 64 divisors (see below), whose sum is σ = 990662400. Its totient is φ = 205696128.

The previous prime is 468049801. The next prime is 468049817. The reversal of 468049816 is 618940864.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468049817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002015 + ... + 1002481.

It is an arithmetic number, because the mean of its divisors is an integer number (15479100).

Almost surely, 2^468049816 is an apocalyptic number.

468049816 is a gapful number since it is divisible by the number (46) 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 468049816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

468049816 is an abundant number, since it is smaller than the sum of its proper divisors (522612584).

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

468049816 is a wasteful number, since it uses less digits than its factorization.

468049816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 468049816 is about 21634.4589948536. The cubic root of 468049816 is about 776.4211542837.

The spelling of 468049816 in words is "four hundred sixty-eight million, forty-nine thousand, eight hundred sixteen".