1405240400 has 120 divisors (see below), whose sum is σ = 3596254200. Its totient is φ = 525844480.

The previous prime is 1405240367. The next prime is 1405240411. The reversal of 1405240400 is 40425041.

It can be written as a sum of positive squares in 12 ways, for example, as 41267776 + 1363972624 = 6424^2 + 36932^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1339076 + ... + 1340124.

It is an arithmetic number, because the mean of its divisors is an integer number (29968785).

Almost surely, 2^1405240400 is an apocalyptic number.

1405240400 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 1405240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798127100).

1405240400 is an abundant number, since it is smaller than the sum of its proper divisors (2191013800).

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

1405240400 is a wasteful number, since it uses less digits than its factorization.

1405240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1405240400 is about 37486.5362496990. The cubic root of 1405240400 is about 1120.0830083035.

Adding to 1405240400 its reverse (40425041), we get a palindrome (1445665441).

The spelling of 1405240400 in words is "one billion, four hundred five million, two hundred forty thousand, four hundred".