1410048400 has 60 divisors (see below), whose sum is σ = 3409370452. Its totient is φ = 560401920.

The previous prime is 1410048347. The next prime is 1410048403. The reversal of 1410048400 is 48400141.

It can be written as a sum of positive squares in 6 ways, for example, as 295289856 + 1114758544 = 17184^2 + 33388^2 .

It is not an unprimeable number, because it can be changed into a prime (1410048403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 51574 + ... + 74026.

Almost surely, 2^1410048400 is an apocalyptic number.

1410048400 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 1410048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704685226).

1410048400 is an abundant number, since it is smaller than the sum of its proper divisors (1999322052).

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

1410048400 is a wasteful number, since it uses less digits than its factorization.

1410048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22628 (or 22617 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 1410048400 is about 37550.6111801126. The cubic root of 1410048400 is about 1121.3590008403.

Adding to 1410048400 its reverse (48400141), we get a palindrome (1458448541).

It can be divided in two parts, 14100 and 48400, that added together give a square (62500 = 250²).

The spelling of 1410048400 in words is "one billion, four hundred ten million, forty-eight thousand, four hundred".