1864452096 has 288 divisors, whose sum is σ = 6010018560. Its totient is φ = 552960000.

The previous prime is 1864452091. The next prime is 1864452103. The reversal of 1864452096 is 6902544681.

1864452096 is a `hidden beast` number, since 1 + 86 + 44 + 520 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1864452091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7427971 + ... + 7428221.

It is an arithmetic number, because the mean of its divisors is an integer number (20868120).

Almost surely, 2^1864452096 is an apocalyptic number.

1864452096 is a gapful number since it is divisible by the number (16) 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 1864452096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005009280).

1864452096 is an abundant number, since it is smaller than the sum of its proper divisors (4145566464).

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

1864452096 is a wasteful number, since it uses less digits than its factorization.

1864452096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1864452096 is about 43179.3017081101. The cubic root of 1864452096 is about 1230.7893881827.

The spelling of 1864452096 in words is "one billion, eight hundred sixty-four million, four hundred fifty-two thousand, ninety-six".