412040096 has 96 divisors (see below), whose sum is σ = 914457600. Its totient is φ = 181463040.

The previous prime is 412040093. The next prime is 412040107. The reversal of 412040096 is 690040214.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (412040093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147565 + ... + 1147923.

It is an arithmetic number, because the mean of its divisors is an integer number (9525600).

Almost surely, 2^412040096 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 412040096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

412040096 is an abundant number, since it is smaller than the sum of its proper divisors (502417504).

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

412040096 is a wasteful number, since it uses less digits than its factorization.

412040096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 412040096 is about 20298.7708002233. The cubic root of 412040096 is about 744.1260240522.

The spelling of 412040096 in words is "four hundred twelve million, forty thousand, ninety-six".