414000153 has 40 divisors (see below), whose sum is σ = 709853760. Its totient is φ = 235548000.

The previous prime is 414000151. The next prime is 414000187. The reversal of 414000153 is 351000414.

It is a happy number.

It is not a de Polignac number, because 414000153 - 2¹ = 414000151 is a prime.

It is a super-2 number, since 2×414000153² = 342792253368046818, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414000151) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140863 + ... + 143771.

It is an arithmetic number, because the mean of its divisors is an integer number (17746344).

Almost surely, 2^414000153 is an apocalyptic number.

It is an amenable number.

414000153 is a deficient number, since it is larger than the sum of its proper divisors (295853607).

414000153 is a wasteful number, since it uses less digits than its factorization.

414000153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 414000153 is about 20346.9937091453. The cubic root of 414000153 is about 745.3040831849.

Adding to 414000153 its reverse (351000414), we get a palindrome (765000567).

The spelling of 414000153 in words is "four hundred fourteen million, one hundred fifty-three", and thus it is an aban number.