468862380 has 432 divisors, whose sum is σ = 1815035040. Its totient is φ = 97284096.

The previous prime is 468862379. The next prime is 468862421. The reversal of 468862380 is 83268864.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7946791 + ... + 7946849.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2^468862380 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 468862380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907517520).

468862380 is an abundant number, since it is smaller than the sum of its proper divisors (1346172660).

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

468862380 is a wasteful number, since it uses less digits than its factorization.

468862380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 468862380 is about 21653.2302440075. The cubic root of 468862380 is about 776.8701998906.

The spelling of 468862380 in words is "four hundred sixty-eight million, eight hundred sixty-two thousand, three hundred eighty".