412378560 has 224 divisors, whose sum is σ = 1587398400. Its totient is φ = 99947520.

The previous prime is 412378559. The next prime is 412378591. The reversal of 412378560 is 65873214.

412378560 is a `hidden beast` number, since 4 + 1 + 23 + 78 + 560 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 92871 + ... + 97209.

It is an arithmetic number, because the mean of its divisors is an integer number (7086600).

Almost surely, 2^412378560 is an apocalyptic number.

412378560 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 412378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793699200).

412378560 is an abundant number, since it is smaller than the sum of its proper divisors (1175019840).

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

412378560 is a wasteful number, since it uses less digits than its factorization.

412378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376 (or 4360 counting only the distinct ones).

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

The square root of 412378560 is about 20307.1061453866. The cubic root of 412378560 is about 744.3297185812.

The spelling of 412378560 in words is "four hundred twelve million, three hundred seventy-eight thousand, five hundred sixty".