412787120 has 20 divisors (see below), whose sum is σ = 959730240. Its totient is φ = 165114816.

The previous prime is 412787117. The next prime is 412787147. The reversal of 412787120 is 21787214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2579840 + ... + 2579999.

It is an arithmetic number, because the mean of its divisors is an integer number (47986512).

Almost surely, 2^412787120 is an apocalyptic number.

412787120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412787120 is an abundant number, since it is smaller than the sum of its proper divisors (546943120).

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

412787120 is a wasteful number, since it uses less digits than its factorization.

412787120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5159852 (or 5159846 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 412787120 is about 20317.1631878075. The cubic root of 412787120 is about 744.5754498950.

The spelling of 412787120 in words is "four hundred twelve million, seven hundred eighty-seven thousand, one hundred twenty".