1045484352 has 168 divisors, whose sum is σ = 3293071392. Its totient is φ = 314496000.

The previous prime is 1045484273. The next prime is 1045484359. The reversal of 1045484352 is 2534845401.

It is a happy number.

1045484352 is a `hidden beast` number, since 104 + 548 + 4 + 3 + 5 + 2 = 666.

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 (1045484359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994227 + ... + 995277.

Almost surely, 2^1045484352 is an apocalyptic number.

1045484352 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 1045484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646535696).

1045484352 is an abundant number, since it is smaller than the sum of its proper divisors (2247587040).

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

1045484352 is a wasteful number, since it uses less digits than its factorization.

1045484352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 1045484352 is about 32333.9504545918. The cubic root of 1045484352 is about 1014.9372192154.

It can be divided in two parts, 104548 and 4352, that added together give a square (108900 = 330²).

The spelling of 1045484352 in words is "one billion, forty-five million, four hundred eighty-four thousand, three hundred fifty-two".