1146441600 has 240 divisors, whose sum is σ = 4231578120. Its totient is φ = 305648640.

The previous prime is 1146441577. The next prime is 1146441641. The reversal of 1146441600 is 61446411.

1146441600 is a `hidden beast` number, since 1 + 1 + 4 + 644 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 256989 + ... + 261411.

Almost surely, 2^1146441600 is an apocalyptic number.

1146441600 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 1146441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115789060).

1146441600 is an abundant number, since it is smaller than the sum of its proper divisors (3085136520).

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

1146441600 is an equidigital number, since it uses as much as digits as its factorization.

1146441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4459 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1146441600 is about 33859.1435213592. The cubic root of 1146441600 is about 1046.6078284278.

It can be divided in two parts, 1146441 and 600, that added together give a square (1147041 = 1071²).

The spelling of 1146441600 in words is "one billion, one hundred forty-six million, four hundred forty-one thousand, six hundred".