414961653 has 64 divisors (see below), whose sum is σ = 659957760. Its totient is φ = 229920768.

The previous prime is 414961649. The next prime is 414961661. The reversal of 414961653 is 356169414.

It is not a de Polignac number, because 414961653 - 2² = 414961649 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414961643) 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, 958125 + ... + 958557.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2^414961653 is an apocalyptic number.

414961653 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

414961653 is a deficient number, since it is larger than the sum of its proper divisors (244996107).

414961653 is a wasteful number, since it uses less digits than its factorization.

414961653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538.

The product of its digits is 77760, while the sum is 39.

The square root of 414961653 is about 20370.6075756223. The cubic root of 414961653 is about 745.8806174517.

It can be divided in two parts, 41 and 4961653, that added together give a palindrome (4961694).

The spelling of 414961653 in words is "four hundred fourteen million, nine hundred sixty-one thousand, six hundred fifty-three".