468254040 has 64 divisors (see below), whose sum is σ = 1409391360. Its totient is φ = 124456320.

The previous prime is 468253999. The next prime is 468254051. The reversal of 468254040 is 40452864.

It is a junction number, because it is equal to n+sod(n) for n = 468253992 and 468254010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31047 + ... + 43593.

It is an arithmetic number, because the mean of its divisors is an integer number (22021740).

Almost surely, 2^468254040 is an apocalyptic number.

468254040 is a gapful number since it is divisible by the number (40) 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 468254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704695680).

468254040 is an abundant number, since it is smaller than the sum of its proper divisors (941137320).

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

468254040 is a wasteful number, since it uses less digits than its factorization.

468254040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12872 (or 12868 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 468254040 is about 21639.1783577843. The cubic root of 468254040 is about 776.5340630468.

The spelling of 468254040 in words is "four hundred sixty-eight million, two hundred fifty-four thousand, forty".