1042048800 has 360 divisors, whose sum is σ = 4095776916. Its totient is φ = 256296960.

The previous prime is 1042048781. The next prime is 1042048807. The reversal of 1042048800 is 88402401.

It can be written as a sum of positive squares in 6 ways, for example, as 314991504 + 727057296 = 17748^2 + 26964^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1042048807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 841782 + ... + 843018.

Almost surely, 2^1042048800 is an apocalyptic number.

1042048800 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 1042048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047888458).

1042048800 is an abundant number, since it is smaller than the sum of its proper divisors (3053728116).

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

1042048800 is a wasteful number, since it uses less digits than its factorization.

1042048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1042048800 is about 32280.7806597052. The cubic root of 1042048800 is about 1013.8242754206.

The spelling of 1042048800 in words is "one billion, forty-two million, forty-eight thousand, eight hundred".