414250400 has 72 divisors (see below), whose sum is σ = 1015809984. Its totient is φ = 164960000.

The previous prime is 414250391. The next prime is 414250439. The reversal of 414250400 is 4052414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199769 + ... + 201831.

It is an arithmetic number, because the mean of its divisors is an integer number (14108472).

Almost surely, 2^414250400 is an apocalyptic number.

414250400 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 414250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507904992).

414250400 is an abundant number, since it is smaller than the sum of its proper divisors (601559584).

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

414250400 is a wasteful number, since it uses less digits than its factorization.

414250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 414250400 is about 20353.1422635425. The cubic root of 414250400 is about 745.4542220538.

The spelling of 414250400 in words is "four hundred fourteen million, two hundred fifty thousand, four hundred".