332790000 has 100 divisors (see below), whose sum is σ = 1074387336. Its totient is φ = 88736000.

The previous prime is 332789987. The next prime is 332790001. The reversal of 332790000 is 97233.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×332790000² = 221498368200000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 (332790001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24454 + ... + 35546.

Almost surely, 2^332790000 is an apocalyptic number.

332790000 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 332790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537193668).

332790000 is an abundant number, since it is smaller than the sum of its proper divisors (741597336).

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

332790000 is a wasteful number, since it uses less digits than its factorization.

332790000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11124 (or 11103 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 332790000 is about 18242.5327188962. The cubic root of 332790000 is about 692.9843431847.

The spelling of 332790000 in words is "three hundred thirty-two million, seven hundred ninety thousand".