1049758400 has 84 divisors (see below), whose sum is σ = 2589443640. Its totient is φ = 418867200.

The previous prime is 1049758397. The next prime is 1049758403. The reversal of 1049758400 is 48579401.

It is an interprime number because it is at equal distance from previous prime (1049758397) and next prime (1049758403).

It is a super-2 number, since 2×1049758400² = 2203985396741120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1049758403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1293995 + ... + 1294805.

It is an arithmetic number, because the mean of its divisors is an integer number (30826710).

Almost surely, 2^1049758400 is an apocalyptic number.

1049758400 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 1049758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294721820).

1049758400 is an abundant number, since it is smaller than the sum of its proper divisors (1539685240).

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

1049758400 is an equidigital number, since it uses as much as digits as its factorization.

1049758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 1049758400 is about 32399.9753086326. The cubic root of 1049758400 is about 1016.3183948477.

The spelling of 1049758400 in words is "one billion, forty-nine million, seven hundred fifty-eight thousand, four hundred".