412534080 has 448 divisors, whose sum is σ = 1755648000. Its totient is φ = 89081856.

The previous prime is 412534043. The next prime is 412534091. The reversal of 412534080 is 80435214.

412534080 is a `hidden beast` number, since 4 + 1 + 253 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×412534080² = 340368734322892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1148941 + ... + 1149299.

Almost surely, 2^412534080 is an apocalyptic number.

412534080 is a gapful number since it is divisible by the number (40) 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 412534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877824000).

412534080 is an abundant number, since it is smaller than the sum of its proper divisors (1343113920).

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

412534080 is a wasteful number, since it uses less digits than its factorization.

412534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 412534080 is about 20310.9349858641. The cubic root of 412534080 is about 744.4232763137.

Adding to 412534080 its reverse (80435214), we get a palindrome (492969294).

The spelling of 412534080 in words is "four hundred twelve million, five hundred thirty-four thousand, eighty".