434461401 has 56 divisors (see below), whose sum is σ = 752648544. Its totient is φ = 247743360.

The previous prime is 434461399. The next prime is 434461403. The reversal of 434461401 is 104164434.

434461401 is a `hidden beast` number, since 4 + 3 + 44 + 614 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (434461399) and next prime (434461403).

It is not a de Polignac number, because 434461401 - 2¹ = 434461399 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (434461403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 134730 + ... + 137916.

Almost surely, 2^434461401 is an apocalyptic number.

It is an amenable number.

434461401 is a deficient number, since it is larger than the sum of its proper divisors (318187143).

434461401 is a wasteful number, since it uses less digits than its factorization.

434461401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 434461401 is about 20843.7376926500. The cubic root of 434461401 is about 757.3856390438.

The spelling of 434461401 in words is "four hundred thirty-four million, four hundred sixty-one thousand, four hundred one".