331640400 has 240 divisors, whose sum is σ = 1307944064. Its totient is φ = 69949440.

The previous prime is 331640399. The next prime is 331640411. The reversal of 331640400 is 4046133.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107682 + ... + 110718.

Almost surely, 2^331640400 is an apocalyptic number.

331640400 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 331640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653972032).

331640400 is an abundant number, since it is smaller than the sum of its proper divisors (976303664).

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

331640400 is a wasteful number, since it uses less digits than its factorization.

331640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 331640400 is about 18210.9966778318. The cubic root of 331640400 is about 692.1854671217.

Adding to 331640400 its reverse (4046133), we get a palindrome (335686533).

The spelling of 331640400 in words is "three hundred thirty-one million, six hundred forty thousand, four hundred".