332334900 has 180 divisors, whose sum is σ = 1091766060. Its totient is φ = 87436800.

The previous prime is 332334869. The next prime is 332334907. The reversal of 332334900 is 9433233.

It can be written as a sum of positive squares in 6 ways, for example, as 50296464 + 282038436 = 7092^2 + 16794^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×332334900² = 220892971516020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332334907) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 720670 + ... + 721130.

It is an arithmetic number, because the mean of its divisors is an integer number (6065367).

Almost surely, 2^332334900 is an apocalyptic number.

332334900 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 332334900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545883030).

332334900 is an abundant number, since it is smaller than the sum of its proper divisors (759431160).

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

332334900 is a wasteful number, since it uses less digits than its factorization.

332334900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 332334900 is about 18230.0548545527. The cubic root of 332334900 is about 692.6683069994.

The spelling of 332334900 in words is "three hundred thirty-two million, three hundred thirty-four thousand, nine hundred".