1032400240 has 20 divisors (see below), whose sum is σ = 2400330744. Its totient is φ = 412960064.

The previous prime is 1032400219. The next prime is 1032400247. The reversal of 1032400240 is 420042301.

1032400240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032400247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6452422 + ... + 6452581.

Almost surely, 2^1032400240 is an apocalyptic number.

1032400240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032400240 is an abundant number, since it is smaller than the sum of its proper divisors (1367930504).

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

1032400240 is a wasteful number, since it uses less digits than its factorization.

1032400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12905016 (or 12905010 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1032400240 is about 32130.9856680432. The cubic root of 1032400240 is about 1010.6854935388.

Adding to 1032400240 its reverse (420042301), we get a palindrome (1452442541).

The spelling of 1032400240 in words is "one billion, thirty-two million, four hundred thousand, two hundred forty".