32240400 has 120 divisors (see below), whose sum is σ = 105079584. Its totient is φ = 8448000.

The previous prime is 32240399. The next prime is 32240407. The reversal of 32240400 is 404223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32240400.

It is not an unprimeable number, because it can be changed into a prime (32240407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80200 + ... + 80600.

Almost surely, 2^32240400 is an apocalyptic number.

32240400 is a gapful number since it is divisible by the number (30) 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 32240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52539792).

32240400 is an abundant number, since it is smaller than the sum of its proper divisors (72839184).

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

32240400 is a wasteful number, since it uses less digits than its factorization.

32240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 32240400 is about 5678.0630500198. The cubic root of 32240400 is about 318.2732511506.

Adding to 32240400 its reverse (404223), we get a palindrome (32644623).

It can be divided in two parts, 32240 and 400, that added together give a triangular number (32640 = T₂₅₅).

The spelling of 32240400 in words is "thirty-two million, two hundred forty thousand, four hundred".