412853760 has 400 divisors, whose sum is σ = 1622052432. Its totient is φ = 99532800.

The previous prime is 412853743. The next prime is 412853797. The reversal of 412853760 is 67358214.

412853760 is a `hidden beast` number, since 4 + 1 + 285 + 376 + 0 = 666.

It is a super-2 number, since 2×412853760² = 340896454292275200, which contains 22 as substring.

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

It is a nialpdrome in base 12.

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 39 ways as a sum of consecutive naturals, for example, 2280870 + ... + 2281050.

Almost surely, 2^412853760 is an apocalyptic number.

412853760 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 412853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811026216).

412853760 is an abundant number, since it is smaller than the sum of its proper divisors (1209198672).

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

412853760 is a wasteful number, since it uses less digits than its factorization.

412853760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 412853760 is about 20318.8031143569. The cubic root of 412853760 is about 744.6155156138.

The spelling of 412853760 in words is "four hundred twelve million, eight hundred fifty-three thousand, seven hundred sixty".