1046365920 has 288 divisors, whose sum is σ = 3764517120. Its totient is φ = 264314880.

The previous prime is 1046365889. The next prime is 1046365921. The reversal of 1046365920 is 295636401.

It is a happy number.

1046365920 is a `hidden beast` number, since 1 + 0 + 4 + 63 + 6 + 592 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1046365921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2184241 + ... + 2184719.

It is an arithmetic number, because the mean of its divisors is an integer number (13071240).

Almost surely, 2^1046365920 is an apocalyptic number.

1046365920 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 1046365920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882258560).

1046365920 is an abundant number, since it is smaller than the sum of its proper divisors (2718151200).

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

1046365920 is a wasteful number, since it uses less digits than its factorization.

1046365920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1046365920 is about 32347.5798167344. The cubic root of 1046365920 is about 1015.2224091390. Note that the first 3 decimals are identical.

The spelling of 1046365920 in words is "one billion, forty-six million, three hundred sixty-five thousand, nine hundred twenty".