468212040 has 96 divisors (see below), whose sum is σ = 1524814200. Its totient is φ = 124600320.

The previous prime is 468212039. The next prime is 468212051. The reversal of 468212040 is 40212864.

It can be written as a sum of positive squares in 4 ways, for example, as 461648196 + 6563844 = 21486^2 + 2562^2 .

It is a junction number, because it is equal to n+sod(n) for n = 468211995 and 468212013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229746 + ... + 231774.

Almost surely, 2^468212040 is an apocalyptic number.

468212040 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 468212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762407100).

468212040 is an abundant number, since it is smaller than the sum of its proper divisors (1056602160).

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

468212040 is a wasteful number, since it uses less digits than its factorization.

468212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2680 counting only the distinct ones).

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

The square root of 468212040 is about 21638.2078740361. The cubic root of 468212040 is about 776.5108453038.

The spelling of 468212040 in words is "four hundred sixty-eight million, two hundred twelve thousand, forty".