468406152 has 40 divisors (see below), whose sum is σ = 1311972750. Its totient is φ = 156135168.

The previous prime is 468406139. The next prime is 468406153. The reversal of 468406152 is 251604864.

468406152 is a `hidden beast` number, since 468 + 40 + 6 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 328551876 + 139854276 = 18126^2 + 11826^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (468406153) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 360777 + ... + 362072.

Almost surely, 2^468406152 is an apocalyptic number.

It is an amenable number.

468406152 is an abundant number, since it is smaller than the sum of its proper divisors (843566598).

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

468406152 is a wasteful number, since it uses less digits than its factorization.

468406152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722867 (or 722854 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 468406152 is about 21642.6928084284. The cubic root of 468406152 is about 776.6181394606.

The spelling of 468406152 in words is "four hundred sixty-eight million, four hundred six thousand, one hundred fifty-two".