332822400 has 192 divisors, whose sum is σ = 1127063280. Its totient is φ = 86261760.

The previous prime is 332822389. The next prime is 332822401. The reversal of 332822400 is 4228233.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×332822400² = 221541499883520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332822401) 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, 354732 + ... + 355668.

Almost surely, 2^332822400 is an apocalyptic number.

332822400 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 332822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563531640).

332822400 is an abundant number, since it is smaller than the sum of its proper divisors (794240880).

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

332822400 is a wasteful number, since it uses less digits than its factorization.

332822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 332822400 is about 18243.4207318693. The cubic root of 332822400 is about 693.0068318053.

The spelling of 332822400 in words is "three hundred thirty-two million, eight hundred twenty-two thousand, four hundred".