414612 has 48 divisors (see below), whose sum is σ = 1176000. Its totient is φ = 125280.

The previous prime is 414611. The next prime is 414629. The reversal of 414612 is 216414.

It is a super-2 number, since 2×414612² = 343806221088, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014 + ... + 1362.

It is an arithmetic number, because the mean of its divisors is an integer number (24500).

2⁴¹⁴⁶¹² 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 414612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588000).

414612 is an abundant number, since it is smaller than the sum of its proper divisors (761388).

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

414612 is a wasteful number, since it uses less digits than its factorization.

414612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 414612 is about 643.9037195109. The cubic root of 414612 is about 74.5671061798.

The spelling of 414612 in words is "four hundred fourteen thousand, six hundred twelve".