1002400032 has 48 divisors (see below), whose sum is σ = 2664627840. Its totient is φ = 329901312.

The previous prime is 1002400031. The next prime is 1002400163. The reversal of 1002400032 is 2300042001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002399990 and 1002400017.

It is not an unprimeable number, because it can be changed into a prime (1002400031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58503 + ... + 73670.

It is an arithmetic number, because the mean of its divisors is an integer number (55513080).

Almost surely, 2^1002400032 is an apocalyptic number.

1002400032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002400032 is an abundant number, since it is smaller than the sum of its proper divisors (1662227808).

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

1002400032 is a wasteful number, since it uses less digits than its factorization.

1002400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132265 (or 132257 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1002400032 is about 31660.7016978462. The cubic root of 1002400032 is about 1000.7993715016.

Adding to 1002400032 its reverse (2300042001), we get a palindrome (3302442033).

The spelling of 1002400032 in words is "one billion, two million, four hundred thousand, thirty-two".