416428077 has 32 divisors (see below), whose sum is σ = 612984960. Its totient is φ = 249891840.

The previous prime is 416428009. The next prime is 416428079. The reversal of 416428077 is 770824614.

It is not a de Polignac number, because 416428077 - 2¹¹ = 416426029 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416428079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314577 + ... + 315897.

It is an arithmetic number, because the mean of its divisors is an integer number (19155780).

Almost surely, 2^416428077 is an apocalyptic number.

It is an amenable number.

416428077 is a deficient number, since it is larger than the sum of its proper divisors (196556883).

416428077 is a wasteful number, since it uses less digits than its factorization.

416428077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533.

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 416428077 is about 20406.5694569175. The cubic root of 416428077 is about 746.7582016245.

The spelling of 416428077 in words is "four hundred sixteen million, four hundred twenty-eight thousand, seventy-seven".