1002240400 has 120 divisors (see below), whose sum is σ = 2764358784. Its totient is φ = 342067200.

The previous prime is 1002240397. The next prime is 1002240451. The reversal of 1002240400 is 40422001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 735720 + ... + 737080.

Almost surely, 2^1002240400 is an apocalyptic number.

1002240400 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 1002240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382179392).

1002240400 is an abundant number, since it is smaller than the sum of its proper divisors (1762118384).

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

1002240400 is a wasteful number, since it uses less digits than its factorization.

1002240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 1002240400 is about 31658.1806173381. The cubic root of 1002240400 is about 1000.7462429829.

Adding to 1002240400 its reverse (40422001), we get a palindrome (1042662401).

The spelling of 1002240400 in words is "one billion, two million, two hundred forty thousand, four hundred".