414454051 has 24 divisors (see below), whose sum is σ = 475607808. Its totient is φ = 358092000.

The previous prime is 414454039. The next prime is 414454063. The reversal of 414454051 is 150454414.

It is an interprime number because it is at equal distance from previous prime (414454039) and next prime (414454063).

It is a de Polignac number, because none of the positive numbers 2^k-414454051 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414454021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656506 + ... + 657136.

It is an arithmetic number, because the mean of its divisors is an integer number (19816992).

Almost surely, 2^414454051 is an apocalyptic number.

414454051 is a deficient number, since it is larger than the sum of its proper divisors (61153757).

414454051 is a wasteful number, since it uses less digits than its factorization.

414454051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 414454051 is about 20358.1445863811. The cubic root of 414454051 is about 745.5763604407.

The spelling of 414454051 in words is "four hundred fourteen million, four hundred fifty-four thousand, fifty-one".