468249072 has 40 divisors (see below), whose sum is σ = 1273311360. Its totient is φ = 147867840.

The previous prime is 468249049. The next prime is 468249137. The reversal of 468249072 is 270942864.

It is a super-2 number, since 2×468249072² = 438514386857722368, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 255804 + ... + 257627.

It is an arithmetic number, because the mean of its divisors is an integer number (31832784).

Almost surely, 2^468249072 is an apocalyptic number.

It is an amenable number.

468249072 is an abundant number, since it is smaller than the sum of its proper divisors (805062288).

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

468249072 is a wasteful number, since it uses less digits than its factorization.

468249072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513461 (or 513455 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 468249072 is about 21639.0635656906. The cubic root of 468249072 is about 776.5313167919.

The spelling of 468249072 in words is "four hundred sixty-eight million, two hundred forty-nine thousand, seventy-two".