412776140 has 96 divisors (see below), whose sum is σ = 1078963200. Its totient is φ = 129427200.

The previous prime is 412776131. The next prime is 412776187. The reversal of 412776140 is 41677214.

412776140 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 412776097 and 412776106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74465 + ... + 79815.

It is an arithmetic number, because the mean of its divisors is an integer number (11239200).

Almost surely, 2^412776140 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 412776140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539481600).

412776140 is an abundant number, since it is smaller than the sum of its proper divisors (666187060).

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

412776140 is a wasteful number, since it uses less digits than its factorization.

412776140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5415 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 412776140 is about 20316.8929711213. The cubic root of 412776140 is about 744.5688480167.

The spelling of 412776140 in words is "four hundred twelve million, seven hundred seventy-six thousand, one hundred forty".