412637760 has 224 divisors, whose sum is σ = 1469623680. Its totient is φ = 108988416.

The previous prime is 412637747. The next prime is 412637767. The reversal of 412637760 is 67736214.

412637760 is a `hidden beast` number, since 4 + 12 + 637 + 7 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (412637767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1408174 + ... + 1408466.

It is an arithmetic number, because the mean of its divisors is an integer number (6560820).

Almost surely, 2^412637760 is an apocalyptic number.

412637760 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 412637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734811840).

412637760 is an abundant number, since it is smaller than the sum of its proper divisors (1056985920).

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

412637760 is a wasteful number, since it uses less digits than its factorization.

412637760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 412637760 is about 20313.4871452442. The cubic root of 412637760 is about 744.4856350731.

The spelling of 412637760 in words is "four hundred twelve million, six hundred thirty-seven thousand, seven hundred sixty".