412743672 has 96 divisors (see below), whose sum is σ = 1258882560. Its totient is φ = 121032000.

The previous prime is 412743659. The next prime is 412743719. The reversal of 412743672 is 276347214.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16147 + ... + 32957.

It is an arithmetic number, because the mean of its divisors is an integer number (13113360).

Almost surely, 2^412743672 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 412743672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629441280).

412743672 is an abundant number, since it is smaller than the sum of its proper divisors (846138888).

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

412743672 is a wasteful number, since it uses less digits than its factorization.

412743672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16865 (or 16858 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 412743672 is about 20316.0939159081. The cubic root of 412743672 is about 744.5493254936.

It can be divided in two parts, 4 and 12743672, that added together give a triangular number (12743676 = T₅₀₄₈).

The spelling of 412743672 in words is "four hundred twelve million, seven hundred forty-three thousand, six hundred seventy-two".