414253000 has 256 divisors, whose sum is σ = 1207664640. Its totient is φ = 129888000.

The previous prime is 414252997. The next prime is 414253001. The reversal of 414253000 is 352414.

It is not an unprimeable number, because it can be changed into a prime (414253001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4990959 + ... + 4991041.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2^414253000 is an apocalyptic number.

414253000 is a gapful number since it is divisible by the number (40) 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 414253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603832320).

414253000 is an abundant number, since it is smaller than the sum of its proper divisors (793411640).

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

414253000 is a wasteful number, since it uses less digits than its factorization.

414253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 414253000 is about 20353.2061356436. The cubic root of 414253000 is about 745.4557816395.

The spelling of 414253000 in words is "four hundred fourteen million, two hundred fifty-three thousand".