1048838400 has 324 divisors, whose sum is σ = 3805641840. Its totient is φ = 275558400.

The previous prime is 1048838369. The next prime is 1048838411. The reversal of 1048838400 is 48388401.

It is a super-2 number, since 2×1048838400² = 2200123978629120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7545531 + ... + 7545669.

Almost surely, 2^1048838400 is an apocalyptic number.

1048838400 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 1048838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902820920).

1048838400 is an abundant number, since it is smaller than the sum of its proper divisors (2756803440).

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

1048838400 is a wasteful number, since it uses less digits than its factorization.

1048838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1048838400 is about 32385.7746549314. The cubic root of 1048838400 is about 1016.0214102583.

The spelling of 1048838400 in words is "one billion, forty-eight million, eight hundred thirty-eight thousand, four hundred".