468657540 has 144 divisors (see below), whose sum is σ = 1572615408. Its totient is φ = 112223232.

The previous prime is 468657533. The next prime is 468657551. The reversal of 468657540 is 45756864.

468657540 is a `hidden beast` number, since 46 + 8 + 65 + 7 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16499844 + 452157696 = 4062^2 + 21264^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83874 + ... + 89286.

Almost surely, 2^468657540 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 468657540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786307704).

468657540 is an abundant number, since it is smaller than the sum of its proper divisors (1103957868).

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

468657540 is a wasteful number, since it uses less digits than its factorization.

468657540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5478 (or 5473 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 468657540 is about 21648.4997170705. The cubic root of 468657540 is about 776.7570485135.

It can be divided in two parts, 4686 and 57540, that added together give a palindrome (62226).

The spelling of 468657540 in words is "four hundred sixty-eight million, six hundred fifty-seven thousand, five hundred forty".