412738560 has 396 divisors, whose sum is σ = 1577819412. Its totient is φ = 99680256.

The previous prime is 412738531. The next prime is 412738561. The reversal of 412738560 is 65837214.

412738560 is a `hidden beast` number, since 41 + 27 + 38 + 560 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 47775744 + 364962816 = 6912^2 + 19104^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412738561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7787494 + ... + 7787546.

Almost surely, 2^412738560 is an apocalyptic number.

412738560 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 412738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788909706).

412738560 is an abundant number, since it is smaller than the sum of its proper divisors (1165080852).

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

412738560 is a wasteful number, since it uses less digits than its factorization.

412738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

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

The square root of 412738560 is about 20315.9681039324. The cubic root of 412738560 is about 744.5462516311.

The spelling of 412738560 in words is "four hundred twelve million, seven hundred thirty-eight thousand, five hundred sixty".