815424480 has 288 divisors, whose sum is σ = 3069402336. Its totient is φ = 195858432.

The previous prime is 815424473. The next prime is 815424487. The reversal of 815424480 is 84424518.

815424480 is a `hidden beast` number, since 8 + 154 + 24 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (815424473) and next prime (815424487).

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

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 (815424487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804454 + ... + 805466.

It is an arithmetic number, because the mean of its divisors is an integer number (10657647).

Almost surely, 2^815424480 is an apocalyptic number.

815424480 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 815424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534701168).

815424480 is an abundant number, since it is smaller than the sum of its proper divisors (2253977856).

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

815424480 is a wasteful number, since it uses less digits than its factorization.

815424480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 815424480 is about 28555.6383224049. The cubic root of 815424480 is about 934.2460029373.

Adding to 815424480 its reverse (84424518), we get a palindrome (899848998).

The spelling of 815424480 in words is "eight hundred fifteen million, four hundred twenty-four thousand, four hundred eighty".