478121957 has 16 divisors (see below), whose sum is σ = 517216752. Its totient is φ = 440294400.

The previous prime is 478121939. The next prime is 478121989. The reversal of 478121957 is 759121874.

It is a Cunningham number, because it is equal to 21866²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 119814916 + 358307041 = 10946^2 + 18929^2 .

It is a cyclic number.

It is not a de Polignac number, because 478121957 - 2¹⁰ = 478120933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478121857) 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, 631223 + ... + 631979.

It is an arithmetic number, because the mean of its divisors is an integer number (32326047).

Almost surely, 2^478121957 is an apocalyptic number.

It is an amenable number.

478121957 is a deficient number, since it is larger than the sum of its proper divisors (39094795).

478121957 is a wasteful number, since it uses less digits than its factorization.

478121957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528.

The product of its digits is 141120, while the sum is 44.

The square root of 478121957 is about 21866.0000228666. Note that the first 4 decimals coincide. The cubic root of 478121957 is about 781.9510421924.

The spelling of 478121957 in words is "four hundred seventy-eight million, one hundred twenty-one thousand, nine hundred fifty-seven".