332330400 has 216 divisors, whose sum is σ = 1186072524. Its totient is φ = 87552000.

The previous prime is 332330393. The next prime is 332330407. The reversal of 332330400 is 4033233.

332330400 is a `hidden beast` number, since 33 + 233 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (332330393) and next prime (332330407).

It can be written as a sum of positive squares in 6 ways, for example, as 274631184 + 57699216 = 16572^2 + 7596^2 .

It is a super-2 number, since 2×332330400² = 220886989528320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (332330407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 726972 + ... + 727428.

Almost surely, 2^332330400 is an apocalyptic number.

332330400 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 332330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593036262).

332330400 is an abundant number, since it is smaller than the sum of its proper divisors (853742124).

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

332330400 is a wasteful number, since it uses less digits than its factorization.

332330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 332330400 is about 18229.9314315770. The cubic root of 332330400 is about 692.6651806134.

Adding to 332330400 its reverse (4033233), we get a palindrome (336363633).

The spelling of 332330400 in words is "three hundred thirty-two million, three hundred thirty thousand, four hundred".