332773920 has 216 divisors, whose sum is σ = 1182927564. Its totient is φ = 88459776.

The previous prime is 332773907. The next prime is 332773921. The reversal of 332773920 is 29377233.

It can be written as a sum of positive squares in 2 ways, for example, as 294877584 + 37896336 = 17172^2 + 6156^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×332773920² = 221476963664332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (332773921) 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, 1049602 + ... + 1049918.

Almost surely, 2^332773920 is an apocalyptic number.

332773920 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 332773920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591463782).

332773920 is an abundant number, since it is smaller than the sum of its proper divisors (850153644).

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

332773920 is an frugal number, since it uses more digits than its factorization.

332773920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The square root of 332773920 is about 18242.0919852960. The cubic root of 332773920 is about 692.9731816237.

The spelling of 332773920 in words is "three hundred thirty-two million, seven hundred seventy-three thousand, nine hundred twenty".