468351072 has 240 divisors, whose sum is σ = 1598268672. Its totient is φ = 131777280.

The previous prime is 468351061. The next prime is 468351119. The reversal of 468351072 is 270153864.

It is a super-3 number, since 3×468351072³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1505797 + ... + 1506107.

Almost surely, 2^468351072 is an apocalyptic number.

468351072 is a gapful number since it is divisible by the number (42) 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 468351072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799134336).

468351072 is an abundant number, since it is smaller than the sum of its proper divisors (1129917600).

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

468351072 is a wasteful number, since it uses less digits than its factorization.

468351072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 468351072 is about 21641.4202861088. The cubic root of 468351072 is about 776.5876973583.

It can be divided in two parts, 4683 and 51072, that added together give a palindrome (55755).

The spelling of 468351072 in words is "four hundred sixty-eight million, three hundred fifty-one thousand, seventy-two".