414253035 has 96 divisors (see below), whose sum is σ = 868008960. Its totient is φ = 185597568.

The previous prime is 414253033. The next prime is 414253043. The reversal of 414253035 is 530352414.

It is not a de Polignac number, because 414253035 - 2¹ = 414253033 is a prime.

It is a super-2 number, since 2×414253035² = 343211154013422450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414253033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 450306 + ... + 451224.

It is an arithmetic number, because the mean of its divisors is an integer number (9041760).

Almost surely, 2^414253035 is an apocalyptic number.

414253035 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

414253035 is an abundant number, since it is smaller than the sum of its proper divisors (453755925).

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

414253035 is an equidigital number, since it uses as much as digits as its factorization.

414253035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 414253035 is about 20353.2069954590. The cubic root of 414253035 is about 745.4558026338.

The spelling of 414253035 in words is "four hundred fourteen million, two hundred fifty-three thousand, thirty-five".