1000032400 has 30 divisors (see below), whose sum is σ = 2402578802. Its totient is φ = 400012800.

The previous prime is 1000032349. The next prime is 1000032401. The reversal of 1000032400 is 42300001.

It can be written as a sum of positive squares in 3 ways, for example, as 5513104 + 994519296 = 2348^2 + 31536^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000032401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1249641 + ... + 1250440.

Almost surely, 2^1000032400 is an apocalyptic number.

1000032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000032400 is an abundant number, since it is smaller than the sum of its proper divisors (1402546402).

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

1000032400 is a wasteful number, since it uses less digits than its factorization.

1000032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500099 (or 2500088 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1000032400 is about 31623.2888865153. The cubic root of 1000032400 is about 1000.0107998834.

Adding to 1000032400 its reverse (42300001), we get a palindrome (1042332401).

It can be divided in two parts, 10000 and 32400, that multiplied together give a square (324000000 = 18000²).

The spelling of 1000032400 in words is "one billion, thirty-two thousand, four hundred".