468140040 has 128 divisors (see below), whose sum is σ = 1614384000. Its totient is φ = 120524544.

The previous prime is 468140027. The next prime is 468140051. The reversal of 468140040 is 40041864.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 468139986 and 468140013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23847 + ... + 38793.

It is an arithmetic number, because the mean of its divisors is an integer number (12612375).

Almost surely, 2^468140040 is an apocalyptic number.

468140040 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 468140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807192000).

468140040 is an abundant number, since it is smaller than the sum of its proper divisors (1146243960).

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

468140040 is a wasteful number, since it uses less digits than its factorization.

468140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14996 (or 14986 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 468140040 is about 21636.5440863369. The cubic root of 468140040 is about 776.4710402282.

The spelling of 468140040 in words is "four hundred sixty-eight million, one hundred forty thousand, forty".