412772976 has 160 divisors (see below), whose sum is σ = 1477286400. Its totient is φ = 107205120.

The previous prime is 412772963. The next prime is 412773001. The reversal of 412772976 is 679277214.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 27060 + ... + 39468.

It is an arithmetic number, because the mean of its divisors is an integer number (9233040).

Almost surely, 2^412772976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412772976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738643200).

412772976 is an abundant number, since it is smaller than the sum of its proper divisors (1064513424).

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

412772976 is a wasteful number, since it uses less digits than its factorization.

412772976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12444 (or 12432 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 412772976 is about 20316.8151047353. The cubic root of 412772976 is about 744.5669455958.

It can be divided in two parts, 41277 and 2976, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 412772976 in words is "four hundred twelve million, seven hundred seventy-two thousand, nine hundred seventy-six".