1553040400 has 30 divisors (see below), whose sum is σ = 3731180522. Its totient is φ = 621216000.

The previous prime is 1553040367. The next prime is 1553040409. The reversal of 1553040400 is 40403551.

It can be written as a sum of positive squares in 3 ways, for example, as 51322896 + 1501717504 = 7164^2 + 38752^2 .

It is not an unprimeable number, because it can be changed into a prime (1553040409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1940901 + ... + 1941700.

Almost surely, 2^1553040400 is an apocalyptic number.

1553040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1553040400 is an abundant number, since it is smaller than the sum of its proper divisors (2178140122).

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

1553040400 is a wasteful number, since it uses less digits than its factorization.

1553040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882619 (or 3882608 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 1553040400 is about 39408.6335718456. The cubic root of 1553040400 is about 1158.0507294403.

Adding to 1553040400 its reverse (40403551), we get a palindrome (1593443951).

The spelling of 1553040400 in words is "one billion, five hundred fifty-three million, forty thousand, four hundred".