332763840 has 168 divisors, whose sum is σ = 1151869680. Its totient is φ = 88172544.

The previous prime is 332763803. The next prime is 332763859. The reversal of 332763840 is 48367233.

332763840 is a `hidden beast` number, since 3 + 3 + 276 + 384 + 0 = 666.

It is a super-2 number, since 2×332763840² = 221463546423091200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 332763795 and 332763804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653506 + ... + 654014.

Almost surely, 2^332763840 is an apocalyptic number.

332763840 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 332763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575934840).

332763840 is an abundant number, since it is smaller than the sum of its proper divisors (819105840).

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

332763840 is a wasteful number, since it uses less digits than its factorization.

332763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 332763840 is about 18241.8156991019. The cubic root of 332763840 is about 692.9661846408.

The spelling of 332763840 in words is "three hundred thirty-two million, seven hundred sixty-three thousand, eight hundred forty".