1049414400 has 216 divisors, whose sum is σ = 3848729360. Its totient is φ = 279797760.

The previous prime is 1049414381. The next prime is 1049414489. The reversal of 1049414400 is 44149401.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×1049414400² = 2202541165854720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 169764 + ... + 175836.

Almost surely, 2^1049414400 is an apocalyptic number.

1049414400 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 1049414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924364680).

1049414400 is an abundant number, since it is smaller than the sum of its proper divisors (2799314960).

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

1049414400 is an equidigital number, since it uses as much as digits as its factorization.

1049414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1049414400 is about 32394.6662276369. Note that the first 3 decimals coincide. The cubic root of 1049414400 is about 1016.2073687540.

The spelling of 1049414400 in words is "one billion, forty-nine million, four hundred fourteen thousand, four hundred".