414960120 has 48 divisors (see below), whose sum is σ = 1348621560. Its totient is φ = 110655936.

The previous prime is 414960109. The next prime is 414960131. The reversal of 414960120 is 21069414.

It is an interprime number because it is at equal distance from previous prime (414960109) and next prime (414960131).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 575974 + ... + 576693.

Almost surely, 2^414960120 is an apocalyptic number.

414960120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414960120 is an abundant number, since it is smaller than the sum of its proper divisors (933661440).

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

414960120 is a wasteful number, since it uses less digits than its factorization.

414960120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152684 (or 1152677 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 414960120 is about 20370.5699478439. The cubic root of 414960120 is about 745.8796989440.

The spelling of 414960120 in words is "four hundred fourteen million, nine hundred sixty thousand, one hundred twenty".