412450632 has 96 divisors (see below), whose sum is σ = 1282788000. Its totient is φ = 118402560.

The previous prime is 412450631. The next prime is 412450637. The reversal of 412450632 is 236054214.

412450632 is a `hidden beast` number, since 4 + 1 + 24 + 5 + 0 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 412450596 and 412450605.

It is not an unprimeable number, because it can be changed into a prime (412450631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1344 + ... + 28752.

It is an arithmetic number, because the mean of its divisors is an integer number (13362375).

Almost surely, 2^412450632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412450632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641394000).

412450632 is an abundant number, since it is smaller than the sum of its proper divisors (870337368).

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

412450632 is a wasteful number, since it uses less digits than its factorization.

412450632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27451 (or 27444 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 412450632 is about 20308.8806190789. The cubic root of 412450632 is about 744.3730785840.

It can be divided in two parts, 4124 and 50632, that added together give a square (54756 = 234²).

The spelling of 412450632 in words is "four hundred twelve million, four hundred fifty thousand, six hundred thirty-two".