412122240 has 96 divisors (see below), whose sum is σ = 1423129500. Its totient is φ = 109897728.

The previous prime is 412122209. The next prime is 412122241. The reversal of 412122240 is 42221214.

412122240 is a `hidden beast` number, since 412 + 12 + 2 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 376981056 + 35141184 = 19416^2 + 5928^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (412122241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30015 + ... + 41534.

Almost surely, 2^412122240 is an apocalyptic number.

412122240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412122240 is an abundant number, since it is smaller than the sum of its proper divisors (1011007260).

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

412122240 is a wasteful number, since it uses less digits than its factorization.

412122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71574 (or 71559 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 412122240 is about 20300.7940731391. The cubic root of 412122240 is about 744.1754702324.

Adding to 412122240 its reverse (42221214), we get a palindrome (454343454).

The spelling of 412122240 in words is "four hundred twelve million, one hundred twenty-two thousand, two hundred forty".