414253504 has 112 divisors (see below), whose sum is σ = 1013886720. Its totient is φ = 163952640.

The previous prime is 414253481. The next prime is 414253549. The reversal of 414253504 is 405352414.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348399 + ... + 349585.

It is an arithmetic number, because the mean of its divisors is an integer number (9052560).

Almost surely, 2^414253504 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 414253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506943360).

414253504 is an abundant number, since it is smaller than the sum of its proper divisors (599633216).

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

414253504 is a wasteful number, since it uses less digits than its factorization.

414253504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 414253504 is about 20353.2185169815. The cubic root of 414253504 is about 745.4560839584.

The spelling of 414253504 in words is "four hundred fourteen million, two hundred fifty-three thousand, five hundred four".