332690400 has 648 divisors, whose sum is σ = 1458750384. Its totient is φ = 70963200.

The previous prime is 332690383. The next prime is 332690429. The reversal of 332690400 is 4096233.

It is a super-2 number, since 2×332690400² = 221365804504320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8114380 + ... + 8114420.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2^332690400 is an apocalyptic number.

332690400 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 332690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729375192).

332690400 is an abundant number, since it is smaller than the sum of its proper divisors (1126059984).

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

332690400 is a wasteful number, since it uses less digits than its factorization.

332690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 332690400 is about 18239.8026305111. The cubic root of 332690400 is about 692.9152023577.

The spelling of 332690400 in words is "three hundred thirty-two million, six hundred ninety thousand, four hundred".