1029450240 has 480 divisors, whose sum is σ = 4396968576. Its totient is φ = 216760320.

The previous prime is 1029450239. The next prime is 1029450293. The reversal of 1029450240 is 420549201.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2096395 + ... + 2096885.

Almost surely, 2^1029450240 is an apocalyptic number.

1029450240 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 1029450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198484288).

1029450240 is an abundant number, since it is smaller than the sum of its proper divisors (3367518336).

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

1029450240 is a wasteful number, since it uses less digits than its factorization.

1029450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1029450240 is about 32085.0469845378. The cubic root of 1029450240 is about 1009.7219245577.

Adding to 1029450240 its reverse (420549201), we get a palindrome (1449999441).

The spelling of 1029450240 in words is "one billion, twenty-nine million, four hundred fifty thousand, two hundred forty".