332670240 has 480 divisors, whose sum is σ = 1419707520. Its totient is φ = 71663616.

The previous prime is 332670227. The next prime is 332670253. The reversal of 332670240 is 42076233.

332670240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (332670227) and next prime (332670253).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×332670240² = 221338977163315200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723584 + ... + 1723776.

It is an arithmetic number, because the mean of its divisors is an integer number (2957724).

Almost surely, 2^332670240 is an apocalyptic number.

332670240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332670240 is the 9120-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332670240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709853760).

332670240 is an abundant number, since it is smaller than the sum of its proper divisors (1087037280).

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

332670240 is a wasteful number, since it uses less digits than its factorization.

332670240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 332670240 is about 18239.2499845800. The cubic root of 332670240 is about 692.9012059087.

The spelling of 332670240 in words is "three hundred thirty-two million, six hundred seventy thousand, two hundred forty".