1565958420 has 120 divisors (see below), whose sum is σ = 5290422984. Its totient is φ = 385461504.

The previous prime is 1565958403. The next prime is 1565958467. The reversal of 1565958420 is 248595651.

1565958420 is a `hidden beast` number, since 1 + 5 + 65 + 9 + 584 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34644996 + 1531313424 = 5886^2 + 39132^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16119 + ... + 58238.

Almost surely, 2^1565958420 is an apocalyptic number.

1565958420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1565958420 is an abundant number, since it is smaller than the sum of its proper divisors (3724464564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1565958420 is a wasteful number, since it uses less digits than its factorization.

1565958420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74391 (or 74380 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 1565958420 is about 39572.1925093872. The cubic root of 1565958420 is about 1161.2527142525.

The spelling of 1565958420 in words is "one billion, five hundred sixty-five million, nine hundred fifty-eight thousand, four hundred twenty".