414056448 has 216 divisors, whose sum is σ = 1335880728. Its totient is φ = 127401984.

The previous prime is 414056443. The next prime is 414056473. The reversal of 414056448 is 844650414.

It is a happy number.

414056448 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 5 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414056441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31850490 + ... + 31850502.

It is an arithmetic number, because the mean of its divisors is an integer number (6184633).

Almost surely, 2^414056448 is an apocalyptic number.

414056448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414056448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667940364).

414056448 is an abundant number, since it is smaller than the sum of its proper divisors (921824280).

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

414056448 is an frugal number, since it uses more digits than its factorization.

414056448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 414056448 is about 20348.3770360194. The cubic root of 414056448 is about 745.3378633590.

The spelling of 414056448 in words is "four hundred fourteen million, fifty-six thousand, four hundred forty-eight".