1005278400 has 252 divisors, whose sum is σ = 4083834352. Its totient is φ = 229754880.

The previous prime is 1005278399. The next prime is 1005278431. The reversal of 1005278400 is 48725001.

It is a tau number, because it is divible by the number of its divisors (252).

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, 95814 + ... + 105786.

Almost surely, 2^1005278400 is an apocalyptic number.

1005278400 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 1005278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041917176).

1005278400 is an abundant number, since it is smaller than the sum of its proper divisors (3078555952).

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

1005278400 is a wasteful number, since it uses less digits than its factorization.

1005278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10008 (or 9990 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1005278400 is about 31706.1255911220. The cubic root of 1005278400 is about 1001.7563799899.

The spelling of 1005278400 in words is "one billion, five million, two hundred seventy-eight thousand, four hundred".