468620640 has 288 divisors, whose sum is σ = 1758425760. Its totient is φ = 117448704.

The previous prime is 468620627. The next prime is 468620671. The reversal of 468620640 is 46026864.

It is a happy number.

468620640 is a `hidden beast` number, since 4 + 6 + 8 + 6 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 468620595 and 468620604.

It is a congruent number.

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, 660606 + ... + 661314.

It is an arithmetic number, because the mean of its divisors is an integer number (6105645).

Almost surely, 2^468620640 is an apocalyptic number.

468620640 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 468620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879212880).

468620640 is an abundant number, since it is smaller than the sum of its proper divisors (1289805120).

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

468620640 is a wasteful number, since it uses less digits than its factorization.

468620640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 468620640 is about 21647.6474472401. The cubic root of 468620640 is about 776.7366618524.

The spelling of 468620640 in words is "four hundred sixty-eight million, six hundred twenty thousand, six hundred forty".