407412 has 18 divisors (see below), whose sum is σ = 1029938. Its totient is φ = 135792.

The previous prime is 407401. The next prime is 407437. The reversal of 407412 is 214704.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 404496 + 2916 = 636^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5623 + ... + 5694.

2⁴⁰⁷⁴¹² is an apocalyptic number.

It is an amenable number.

407412 is an abundant number, since it is smaller than the sum of its proper divisors (622526).

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

407412 is a wasteful number, since it uses less digits than its factorization.

407412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11327 (or 11322 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 407412 is about 638.2883360990. The cubic root of 407412 is about 74.1329482437.

The spelling of 407412 in words is "four hundred seven thousand, four hundred twelve", and thus it is an iban number.