331953480 has 192 divisors, whose sum is σ = 1151055360. Its totient is φ = 82773504.

The previous prime is 331953473. The next prime is 331953481. The reversal of 331953480 is 84359133.

331953480 is a `hidden beast` number, since 33 + 19 + 534 + 80 = 666.

It is a super-2 number, since 2×331953480² = 220386225768220800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331953481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 388734 + ... + 389586.

It is an arithmetic number, because the mean of its divisors is an integer number (5995080).

Almost surely, 2^331953480 is an apocalyptic number.

331953480 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 331953480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575527680).

331953480 is an abundant number, since it is smaller than the sum of its proper divisors (819101880).

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

331953480 is a wasteful number, since it uses less digits than its factorization.

331953480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 331953480 is about 18219.5905552238. The cubic root of 331953480 is about 692.4032142840.

The spelling of 331953480 in words is "three hundred thirty-one million, nine hundred fifty-three thousand, four hundred eighty".