468987840 has 448 divisors, whose sum is σ = 1825873920. Its totient is φ = 112803840.

The previous prime is 468987829. The next prime is 468987851. The reversal of 468987840 is 48789864.

It is an interprime number because it is at equal distance from previous prime (468987829) and next prime (468987851).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4553229 + ... + 4553331.

Almost surely, 2^468987840 is an apocalyptic number.

468987840 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 468987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912936960).

468987840 is an abundant number, since it is smaller than the sum of its proper divisors (1356886080).

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

468987840 is a wasteful number, since it uses less digits than its factorization.

468987840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 468987840 is about 21656.1270775732. The cubic root of 468987840 is about 776.9394863503.

It can be divided in two parts, 4689 and 87840, that added together give a palindrome (92529).

The spelling of 468987840 in words is "four hundred sixty-eight million, nine hundred eighty-seven thousand, eight hundred forty".