412907352 has 128 divisors (see below), whose sum is σ = 1252177920. Its totient is φ = 111744000.

The previous prime is 412907347. The next prime is 412907357. The reversal of 412907352 is 253709214.

It is an interprime number because it is at equal distance from previous prime (412907347) and next prime (412907357).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412907357) 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, 104452 + ... + 108332.

It is an arithmetic number, because the mean of its divisors is an integer number (9782640).

Almost surely, 2^412907352 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 412907352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626088960).

412907352 is an abundant number, since it is smaller than the sum of its proper divisors (839270568).

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

412907352 is a wasteful number, since it uses less digits than its factorization.

412907352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 412907352 is about 20320.1218500284. The cubic root of 412907352 is about 744.6477334046.

The spelling of 412907352 in words is "four hundred twelve million, nine hundred seven thousand, three hundred fifty-two".