1049438400 has 336 divisors, whose sum is σ = 3734165760. Its totient is φ = 257126400.

The previous prime is 1049438333. The next prime is 1049438413. The reversal of 1049438400 is 48349401.

It is a happy number.

It is a super-2 number, since 2×1049438400² = 2202641910789120000, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3374245 + ... + 3374555.

Almost surely, 2^1049438400 is an apocalyptic number.

1049438400 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 1049438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867082880).

1049438400 is an abundant number, since it is smaller than the sum of its proper divisors (2684727360).

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

1049438400 is a wasteful number, since it uses less digits than its factorization.

1049438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1049438400 is about 32395.0366568708. The cubic root of 1049438400 is about 1016.2151155478.

The spelling of 1049438400 in words is "one billion, forty-nine million, four hundred thirty-eight thousand, four hundred".