82452480 has 224 divisors, whose sum is σ = 292534848. Its totient is φ = 19660800.

The previous prime is 82452451. The next prime is 82452497. The reversal of 82452480 is 8425428.

It is a happy number.

It is a super-2 number, since 2×82452480² = 13596822916300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351650 + ... + 1351710.

Almost surely, 2^82452480 is an apocalyptic number.

82452480 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 82452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146267424).

82452480 is an abundant number, since it is smaller than the sum of its proper divisors (210082368).

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

82452480 is a wasteful number, since it uses less digits than its factorization.

82452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 82452480 is about 9080.3347955899. The cubic root of 82452480 is about 435.2457852637.

The spelling of 82452480 in words is "eighty-two million, four hundred fifty-two thousand, four hundred eighty".