862224480 has 288 divisors, whose sum is σ = 3270546720. Its totient is φ = 212060160.

The previous prime is 862224469. The next prime is 862224481. The reversal of 862224480 is 84422268.

It is a happy number.

862224480 is a `hidden beast` number, since 8 + 622 + 24 + 4 + 8 + 0 = 666.

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

It is a super-2 number, since 2×862224480² = 1486862107822540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (862224481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729490 + ... + 730670.

It is an arithmetic number, because the mean of its divisors is an integer number (11356065).

Almost surely, 2^862224480 is an apocalyptic number.

862224480 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 862224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635273360).

862224480 is an abundant number, since it is smaller than the sum of its proper divisors (2408322240).

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

862224480 is a wasteful number, since it uses less digits than its factorization.

862224480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 862224480 is about 29363.6591725214. The cubic root of 862224480 is about 951.7877619287.

The spelling of 862224480 in words is "eight hundred sixty-two million, two hundred twenty-four thousand, four hundred eighty".