331763040 has 576 divisors, whose sum is σ = 1426553856. Its totient is φ = 71165952.

The previous prime is 331762999. The next prime is 331763051. The reversal of 331763040 is 40367133.

It is a happy number.

It is a super-2 number, since 2×331763040² = 220133429420083200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 331762995 and 331763013.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 6259654 + ... + 6259706.

It is an arithmetic number, because the mean of its divisors is an integer number (2476656).

Almost surely, 2^331763040 is an apocalyptic number.

331763040 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 331763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713276928).

331763040 is an abundant number, since it is smaller than the sum of its proper divisors (1094790816).

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

331763040 is a wasteful number, since it uses less digits than its factorization.

331763040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 331763040 is about 18214.3635628588. The cubic root of 331763040 is about 692.2707795704.

The spelling of 331763040 in words is "three hundred thirty-one million, seven hundred sixty-three thousand, forty".