412265640 has 128 divisors (see below), whose sum is σ = 1318032000. Its totient is φ = 102801408.

The previous prime is 412265611. The next prime is 412265647. The reversal of 412265640 is 46562214.

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 = 412265598 and 412265607.

It is not an unprimeable number, because it can be changed into a prime (412265647) 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, 364596 + ... + 365724.

It is an arithmetic number, because the mean of its divisors is an integer number (10297125).

Almost surely, 2^412265640 is an apocalyptic number.

412265640 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 412265640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659016000).

412265640 is an abundant number, since it is smaller than the sum of its proper divisors (905766360).

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

412265640 is a wasteful number, since it uses less digits than its factorization.

412265640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 412265640 is about 20304.3256475067. The cubic root of 412265640 is about 744.2617734189.

The spelling of 412265640 in words is "four hundred twelve million, two hundred sixty-five thousand, six hundred forty".