862484480 has 384 divisors, whose sum is σ = 2641766400. Its totient is φ = 265420800.

The previous prime is 862484453. The next prime is 862484489. The reversal of 862484480 is 84484268.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (862484489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27822065 + ... + 27822095.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^862484480 is an apocalyptic number.

862484480 is a gapful number since it is divisible by the number (80) 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 862484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320883200).

862484480 is an abundant number, since it is smaller than the sum of its proper divisors (1779281920).

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

862484480 is a wasteful number, since it uses less digits than its factorization.

862484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The square root of 862484480 is about 29368.0860799610. The cubic root of 862484480 is about 951.8834214520.

The spelling of 862484480 in words is "eight hundred sixty-two million, four hundred eighty-four thousand, four hundred eighty".