815532480 has 252 divisors, whose sum is σ = 3263630760. Its totient is φ = 186375168.

The previous prime is 815532457. The next prime is 815532481. The reversal of 815532480 is 84235518.

It is a happy number.

815532480 is a `hidden beast` number, since 8 + 1 + 553 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 (815532481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138231 + ... + 144009.

Almost surely, 2^815532480 is an apocalyptic number.

815532480 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 815532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631815380).

815532480 is an abundant number, since it is smaller than the sum of its proper divisors (2448098280).

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

815532480 is a wasteful number, since it uses less digits than its factorization.

815532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5816 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 815532480 is about 28557.5293048961. The cubic root of 815532480 is about 934.2872469424.

Adding to 815532480 its reverse (84235518), we get a palindrome (899767998).

The spelling of 815532480 in words is "eight hundred fifteen million, five hundred thirty-two thousand, four hundred eighty".