468283140 has 192 divisors, whose sum is σ = 1608203520. Its totient is φ = 112389120.

The previous prime is 468283121. The next prime is 468283157. The reversal of 468283140 is 41382864.

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

It is a junction number, because it is equal to n+sod(n) for n = 468283095 and 468283104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287007 + ... + 288633.

It is an arithmetic number, because the mean of its divisors is an integer number (8376060).

Almost surely, 2^468283140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468283140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804101760).

468283140 is an abundant number, since it is smaller than the sum of its proper divisors (1139920380).

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

468283140 is a wasteful number, since it uses less digits than its factorization.

468283140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 468283140 is about 21639.8507388568. The cubic root of 468283140 is about 776.5501488116.

The spelling of 468283140 in words is "four hundred sixty-eight million, two hundred eighty-three thousand, one hundred forty".