416120029 has 16 divisors (see below), whose sum is σ = 460580400. Its totient is φ = 373501440.

The previous prime is 416120027. The next prime is 416120051. The reversal of 416120029 is 920021614.

It can be written as a sum of positive squares in 8 ways, for example, as 16040025 + 400080004 = 4005^2 + 20002^2 .

It is not a de Polignac number, because 416120029 - 2¹ = 416120027 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 416119985 and 416120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416120021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184899 + ... + 187135.

It is an arithmetic number, because the mean of its divisors is an integer number (28786275).

Almost surely, 2^416120029 is an apocalyptic number.

It is an amenable number.

416120029 is a deficient number, since it is larger than the sum of its proper divisors (44460371).

416120029 is a wasteful number, since it uses less digits than its factorization.

416120029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 416120029 is about 20399.0202951024. The cubic root of 416120029 is about 746.5740208667.

The spelling of 416120029 in words is "four hundred sixteen million, one hundred twenty thousand, twenty-nine".