1405056820 has 24 divisors (see below), whose sum is σ = 3019240224. Its totient is φ = 548952096.

The previous prime is 1405056811. The next prime is 1405056823. The reversal of 1405056820 is 286505041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405056823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816034 + ... + 817753.

It is an arithmetic number, because the mean of its divisors is an integer number (125801676).

Almost surely, 2^1405056820 is an apocalyptic number.

1405056820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1405056820 is an abundant number, since it is smaller than the sum of its proper divisors (1614183404).

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

1405056820 is a wasteful number, since it uses less digits than its factorization.

1405056820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633839 (or 1633837 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 1405056820 is about 37484.0875572555. The cubic root of 1405056820 is about 1120.0342304589.

The spelling of 1405056820 in words is "one billion, four hundred five million, fifty-six thousand, eight hundred twenty".