412390272 has 256 divisors, whose sum is σ = 1331712000. Its totient is φ = 112896000.

The previous prime is 412390243. The next prime is 412390289. The reversal of 412390272 is 272093214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4083022 + ... + 4083122.

It is an arithmetic number, because the mean of its divisors is an integer number (5202000).

Almost surely, 2^412390272 is an apocalyptic number.

412390272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412390272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665856000).

412390272 is an abundant number, since it is smaller than the sum of its proper divisors (919321728).

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

412390272 is a wasteful number, since it uses less digits than its factorization.

412390272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 412390272 is about 20307.3945152991. The cubic root of 412390272 is about 744.3367651059.

It can be divided in two parts, 4123 and 90272, that added together give a triangular number (94395 = T₄₃₄).

The spelling of 412390272 in words is "four hundred twelve million, three hundred ninety thousand, two hundred seventy-two".