414990 has 64 divisors (see below), whose sum is σ = 1166400. Its totient is φ = 104832.

The previous prime is 414977. The next prime is 414991. The reversal of 414990 is 99414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414991) 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, 7804 + ... + 7856.

It is an arithmetic number, because the mean of its divisors is an integer number (18225).

2⁴¹⁴⁹⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583200).

414990 is an abundant number, since it is smaller than the sum of its proper divisors (751410).

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

414990 is a wasteful number, since it uses less digits than its factorization.

414990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 414990 is about 644.1971747842. The cubic root of 414990 is about 74.5897601348.

The spelling of 414990 in words is "four hundred fourteen thousand, nine hundred ninety".