332249280 has 224 divisors, whose sum is σ = 1169261568. Its totient is φ = 79257600.

The previous prime is 332249279. The next prime is 332249287. The reversal of 332249280 is 82942233.

It is a super-2 number, since 2×332249280² = 220779168121036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (332249287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 770665 + ... + 771095.

Almost surely, 2^332249280 is an apocalyptic number.

332249280 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 332249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584630784).

332249280 is an abundant number, since it is smaller than the sum of its proper divisors (837012288).

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

332249280 is a wasteful number, since it uses less digits than its factorization.

332249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 332249280 is about 18227.7063834153. The cubic root of 332249280 is about 692.6088174561.

The spelling of 332249280 in words is "three hundred thirty-two million, two hundred forty-nine thousand, two hundred eighty".