414060000 has 240 divisors, whose sum is σ = 1391854464. Its totient is φ = 107712000.

The previous prime is 414059983. The next prime is 414060037. The reversal of 414060000 is 60414.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 4019949 + ... + 4020051.

Almost surely, 2^414060000 is an apocalyptic number.

414060000 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 414060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695927232).

414060000 is an abundant number, since it is smaller than the sum of its proper divisors (977794464).

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

414060000 is a wasteful number, since it uses less digits than its factorization.

414060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 414060000 is about 20348.4643155202. The cubic root of 414060000 is about 745.3399946566.

The spelling of 414060000 in words is "four hundred fourteen million, sixty thousand".