1020357405 has 80 divisors (see below), whose sum is σ = 1917848064. Its totient is φ = 518348160.

The previous prime is 1020357397. The next prime is 1020357407. The reversal of 1020357405 is 5047530201.

It is a happy number.

1020357405 is a `hidden beast` number, since 1 + 0 + 203 + 57 + 405 = 666.

It is not a de Polignac number, because 1020357405 - 2³ = 1020357397 is a prime.

It is a super-2 number, since 2×1020357405² = 2082258467876668050, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020357407) 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 79 ways as a sum of consecutive naturals, for example, 840579 + ... + 841791.

Almost surely, 2^1020357405 is an apocalyptic number.

1020357405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020357405 is a deficient number, since it is larger than the sum of its proper divisors (897490659).

1020357405 is a wasteful number, since it uses less digits than its factorization.

1020357405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 1020357405 is about 31943.0337475951. The cubic root of 1020357405 is about 1006.7402683760.

Adding to 1020357405 its reverse (5047530201), we get a palindrome (6067887606).

The spelling of 1020357405 in words is "one billion, twenty million, three hundred fifty-seven thousand, four hundred five".