412890240 has 256 divisors, whose sum is σ = 1554186240. Its totient is φ = 91238400.

The previous prime is 412890221. The next prime is 412890241. The reversal of 412890240 is 42098214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 412890198 and 412890207.

It is not an unprimeable number, because it can be changed into a prime (412890241) 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, 416145 + ... + 417135.

It is an arithmetic number, because the mean of its divisors is an integer number (6071040).

Almost surely, 2^412890240 is an apocalyptic number.

412890240 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 412890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777093120).

412890240 is an abundant number, since it is smaller than the sum of its proper divisors (1141296000).

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

412890240 is a wasteful number, since it uses less digits than its factorization.

412890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 412890240 is about 20319.7007851986. The cubic root of 412890240 is about 744.6374465222.

The spelling of 412890240 in words is "four hundred twelve million, eight hundred ninety thousand, two hundred forty".