1048010400 has 288 divisors, whose sum is σ = 3843504000. Its totient is φ = 279002880.

The previous prime is 1048010399. The next prime is 1048010401. The reversal of 1048010400 is 40108401.

It is an interprime number because it is at equal distance from previous prime (1048010399) and next prime (1048010401).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048010401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1749301 + ... + 1749899.

It is an arithmetic number, because the mean of its divisors is an integer number (13345500).

Almost surely, 2^1048010400 is an apocalyptic number.

1048010400 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 1048010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921752000).

1048010400 is an abundant number, since it is smaller than the sum of its proper divisors (2795493600).

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

1048010400 is an frugal number, since it uses more digits than its factorization.

1048010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1048010400 is about 32372.9887406152. The cubic root of 1048010400 is about 1015.7539756047.

Adding to 1048010400 its reverse (40108401), we get a palindrome (1088118801).

The spelling of 1048010400 in words is "one billion, forty-eight million, ten thousand, four hundred".