468781560 has 256 divisors, whose sum is σ = 1701302400. Its totient is φ = 114130944.

The previous prime is 468781553. The next prime is 468781567. The reversal of 468781560 is 65187864.

It is a happy number.

468781560 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 81 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (468781553) and next prime (468781567).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468781567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2428824 + ... + 2429016.

Almost surely, 2^468781560 is an apocalyptic number.

468781560 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 468781560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850651200).

468781560 is an abundant number, since it is smaller than the sum of its proper divisors (1232520840).

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

468781560 is a wasteful number, since it uses less digits than its factorization.

468781560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 468781560 is about 21651.3639293233. The cubic root of 468781560 is about 776.8255597431.

The spelling of 468781560 in words is "four hundred sixty-eight million, seven hundred eighty-one thousand, five hundred sixty".