1405542330 has 96 divisors (see below), whose sum is σ = 3701926800. Its totient is φ = 369976320.

The previous prime is 1405542283. The next prime is 1405542331. The reversal of 1405542330 is 332455041.

It can be written as a sum of positive squares in 8 ways, for example, as 458687889 + 946854441 = 21417^2 + 30771^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1405542294 and 1405542303.

It is not an unprimeable number, because it can be changed into a prime (1405542331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3768024 + ... + 3768396.

Almost surely, 2^1405542330 is an apocalyptic number.

1405542330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405542330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850963400).

1405542330 is an abundant number, since it is smaller than the sum of its proper divisors (2296384470).

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

1405542330 is a wasteful number, since it uses less digits than its factorization.

1405542330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1405542330 is about 37490.5632126273. The cubic root of 1405542330 is about 1120.1632229165.

Adding to 1405542330 its reverse (332455041), we get a palindrome (1737997371).

It can be divided in two parts, 140554 and 2330, that added together give a square (142884 = 378²).

The spelling of 1405542330 in words is "one billion, four hundred five million, five hundred forty-two thousand, three hundred thirty".