1032445440 has 400 divisors, whose sum is σ = 3992744448. Its totient is φ = 253476864.

The previous prime is 1032445433. The next prime is 1032445451. The reversal of 1032445440 is 445442301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2695489 + ... + 2695871.

Almost surely, 2^1032445440 is an apocalyptic number.

1032445440 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 1032445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996372224).

1032445440 is an abundant number, since it is smaller than the sum of its proper divisors (2960299008).

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

1032445440 is an equidigital number, since it uses as much as digits as its factorization.

1032445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1032445440 is about 32131.6890312352. The cubic root of 1032445440 is about 1010.7002430890.

Adding to 1032445440 its reverse (445442301), we get a palindrome (1477887741).

The spelling of 1032445440 in words is "one billion, thirty-two million, four hundred forty-five thousand, four hundred forty".