1049206400 has 192 divisors, whose sum is σ = 2900439360. Its totient is φ = 371712000.

The previous prime is 1049206393. The next prime is 1049206409. The reversal of 1049206400 is 46029401.

It is a super-2 number, since 2×1049206400² = 2201668139601920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1049206400.

It is not an unprimeable number, because it can be changed into a prime (1049206409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1442837 + ... + 1443563.

It is an arithmetic number, because the mean of its divisors is an integer number (15106455).

Almost surely, 2^1049206400 is an apocalyptic number.

1049206400 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 1049206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450219680).

1049206400 is an abundant number, since it is smaller than the sum of its proper divisors (1851232960).

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

1049206400 is a wasteful number, since it uses less digits than its factorization.

1049206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1049206400 is about 32391.4556634925. The cubic root of 1049206400 is about 1016.1402249262.

The spelling of 1049206400 in words is "one billion, forty-nine million, two hundred six thousand, four hundred".