1045405152 has 216 divisors, whose sum is σ = 3307023720. Its totient is φ = 312998400.

The previous prime is 1045405147. The next prime is 1045405159. The reversal of 1045405152 is 2515045401.

1045405152 is a `hidden beast` number, since 104 + 5 + 40 + 515 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045405159) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4564974 + ... + 4565202.

It is an arithmetic number, because the mean of its divisors is an integer number (15310295).

Almost surely, 2^1045405152 is an apocalyptic number.

1045405152 is a gapful number since it is divisible by the number (12) 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 1045405152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653511860).

1045405152 is an abundant number, since it is smaller than the sum of its proper divisors (2261618568).

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

1045405152 is a wasteful number, since it uses less digits than its factorization.

1045405152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1045405152 is about 32332.7257125037. The cubic root of 1045405152 is about 1014.9115899277.

The spelling of 1045405152 in words is "one billion, forty-five million, four hundred five thousand, one hundred fifty-two".