1550438400 has 468 divisors, whose sum is σ = 6020974752. Its totient is φ = 350945280.

The previous prime is 1550438363. The next prime is 1550438419. The reversal of 1550438400 is 48340551.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 35 ways as a sum of consecutive naturals, for example, 15052749 + ... + 15052851.

Almost surely, 2^1550438400 is an apocalyptic number.

1550438400 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 1550438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010487376).

1550438400 is an abundant number, since it is smaller than the sum of its proper divisors (4470536352).

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

1550438400 is a wasteful number, since it uses less digits than its factorization.

1550438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1550438400 is about 39375.6066619932. The cubic root of 1550438400 is about 1157.4036262081.

Adding to 1550438400 its reverse (48340551), we get a palindrome (1598778951).

The spelling of 1550438400 in words is "one billion, five hundred fifty million, four hundred thirty-eight thousand, four hundred".