1353540400 has 60 divisors (see below), whose sum is σ = 3256513792. Its totient is φ = 540645120.

The previous prime is 1353540337. The next prime is 1353540413. The reversal of 1353540400 is 40453531.

It is a super-2 number, since 2×1353540400² = 3664143228864320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339217 + ... + 343183.

Almost surely, 2^1353540400 is an apocalyptic number.

1353540400 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 1353540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628256896).

1353540400 is an abundant number, since it is smaller than the sum of its proper divisors (1902973392).

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

1353540400 is a wasteful number, since it uses less digits than its factorization.

1353540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 1353540400 is about 36790.4933372740. The cubic root of 1353540400 is about 1106.1747503264.

Adding to 1353540400 its reverse (40453531), we get a palindrome (1393993931).

It can be divided in two parts, 13535 and 40400, that added together give a palindrome (53935).

The spelling of 1353540400 in words is "one billion, three hundred fifty-three million, five hundred forty thousand, four hundred".