412461140 has 96 divisors (see below), whose sum is σ = 1128847104. Its totient is φ = 122849280.

The previous prime is 412461103. The next prime is 412461149. The reversal of 412461140 is 41164214.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412461149) 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, 24275 + ... + 37605.

It is an arithmetic number, because the mean of its divisors is an integer number (11758824).

Almost surely, 2^412461140 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 412461140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564423552).

412461140 is an abundant number, since it is smaller than the sum of its proper divisors (716385964).

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

412461140 is a wasteful number, since it uses less digits than its factorization.

412461140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13377 (or 13375 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 412461140 is about 20309.1393219900. The cubic root of 412461140 is about 744.3793999918.

The spelling of 412461140 in words is "four hundred twelve million, four hundred sixty-one thousand, one hundred forty".