415392 has 24 divisors (see below), whose sum is σ = 1090656. Its totient is φ = 138432.

The previous prime is 415391. The next prime is 415409. The reversal of 415392 is 293514.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (415391) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2068 + ... + 2259.

It is an arithmetic number, because the mean of its divisors is an integer number (45444).

2⁴¹⁵³⁹² is an apocalyptic number.

It is an amenable number.

415392 is an abundant number, since it is smaller than the sum of its proper divisors (675264).

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

415392 is a wasteful number, since it uses less digits than its factorization.

415392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 4332 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 415392 is about 644.5091155290. The cubic root of 415392 is about 74.6138373467.

Adding to 415392 its sum of digits (24), we get a triangular number (415416 = T₉₁₁).

The spelling of 415392 in words is "four hundred fifteen thousand, three hundred ninety-two".