488401965 has 12 divisors (see below), whose sum is σ = 846563484. Its totient is φ = 260481024.

The previous prime is 488401951. The next prime is 488401999. The reversal of 488401965 is 569104884.

It can be written as a sum of positive squares in 2 ways, for example, as 237591396 + 250810569 = 15414^2 + 15837^2 .

It is not a de Polignac number, because 488401965 - 2⁹ = 488401453 is a prime.

It is a super-2 number, since 2×488401965² = 477072958831722450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 10853377 = 488401965 / (4 + 8 + 8 + 4 + 0 + 1 + 9 + 6 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 488401965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5426644 + ... + 5426733.

It is an arithmetic number, because the mean of its divisors is an integer number (70546957).

Almost surely, 2^488401965 is an apocalyptic number.

488401965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

488401965 is a deficient number, since it is larger than the sum of its proper divisors (358161519).

488401965 is a wasteful number, since it uses less digits than its factorization.

488401965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10853388 (or 10853385 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 488401965 is about 22099.8182119220. The cubic root of 488401965 is about 787.5155431550.

It can be divided in two parts, 48840 and 1965, that added together give a palindrome (50805).

The spelling of 488401965 in words is "four hundred eighty-eight million, four hundred one thousand, nine hundred sixty-five".