1048550400 has 528 divisors, whose sum is σ = 4051094880. Its totient is φ = 265420800.

The previous prime is 1048550389. The next prime is 1048550413. The reversal of 1048550400 is 40558401.

1048550400 is a `hidden beast` number, since 104 + 8 + 550 + 4 + 0 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25574380 + ... + 25574420.

Almost surely, 2^1048550400 is an apocalyptic number.

1048550400 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 1048550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025547440).

1048550400 is an abundant number, since it is smaller than the sum of its proper divisors (3002544480).

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

1048550400 is a wasteful number, since it uses less digits than its factorization.

1048550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1048550400 is about 32381.3279530040. The cubic root of 1048550400 is about 1015.9284054786.

The spelling of 1048550400 in words is "one billion, forty-eight million, five hundred fifty thousand, four hundred".