1405231020 has 144 divisors (see below), whose sum is σ = 4349086560. Its totient is φ = 367193088.

The previous prime is 1405231001. The next prime is 1405231031. The reversal of 1405231020 is 201325041.

1405231020 is a `hidden beast` number, since 1 + 40 + 523 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1405230984 and 1405231002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3008827 + ... + 3009293.

It is an arithmetic number, because the mean of its divisors is an integer number (30201990).

Almost surely, 2^1405231020 is an apocalyptic number.

1405231020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174543280).

1405231020 is an abundant number, since it is smaller than the sum of its proper divisors (2943855540).

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

1405231020 is a wasteful number, since it uses less digits than its factorization.

1405231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1405231020 is about 37486.4111379044. The cubic root of 1405231020 is about 1120.0805161079.

Adding to 1405231020 its reverse (201325041), we get a palindrome (1606556061).

The spelling of 1405231020 in words is "one billion, four hundred five million, two hundred thirty-one thousand, twenty".