412264040 has 32 divisors (see below), whose sum is σ = 957519360. Its totient is φ = 159585600.

The previous prime is 412264031. The next prime is 412264043. The reversal of 412264040 is 40462214.

It is a junction number, because it is equal to n+sod(n) for n = 412263997 and 412264015.

It is not an unprimeable number, because it can be changed into a prime (412264043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164996 + ... + 167475.

It is an arithmetic number, because the mean of its divisors is an integer number (29922480).

Almost surely, 2^412264040 is an apocalyptic number.

412264040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412264040 is an abundant number, since it is smaller than the sum of its proper divisors (545255320).

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

412264040 is a wasteful number, since it uses less digits than its factorization.

412264040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332513 (or 332509 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 412264040 is about 20304.2862469972. The cubic root of 412264040 is about 744.2608105927.

The spelling of 412264040 in words is "four hundred twelve million, two hundred sixty-four thousand, forty".