32406400 has 192 divisors, whose sum is σ = 92962800. Its totient is φ = 11059200.

The previous prime is 32406383. The next prime is 32406443. The reversal of 32406400 is 460423.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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, 790380 + ... + 790420.

Almost surely, 2^32406400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46481400).

32406400 is an abundant number, since it is smaller than the sum of its proper divisors (60556400).

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

32406400 is a wasteful number, since it uses less digits than its factorization.

32406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 32406400 is about 5692.6619432389. The cubic root of 32406400 is about 318.8185601594.

Adding to 32406400 its reverse (460423), we get a palindrome (32866823).

The spelling of 32406400 in words is "thirty-two million, four hundred six thousand, four hundred".