1045632000 has 352 divisors, whose sum is σ = 3985263360. Its totient is φ = 238387200.

The previous prime is 1045631987. The next prime is 1045632017. The reversal of 1045632000 is 2365401.

It is a happy number.

1045632000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687806 + ... + 2688194.

Almost surely, 2^1045632000 is an apocalyptic number.

1045632000 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 1045632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992631680).

1045632000 is an abundant number, since it is smaller than the sum of its proper divisors (2939631360).

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

1045632000 is an equidigital number, since it uses as much as digits as its factorization.

1045632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1045632000 is about 32336.2335469052. The cubic root of 1045632000 is about 1014.9849949653.

Adding to 1045632000 its reverse (2365401), we get a palindrome (1047997401).

The spelling of 1045632000 in words is "one billion, forty-five million, six hundred thirty-two thousand".