412551648 has 72 divisors (see below), whose sum is σ = 1242219888. Its totient is φ = 129426432.

The previous prime is 412551641. The next prime is 412551649. The reversal of 412551648 is 846155214.

It is a happy number.

412551648 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 5 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412551641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37236 + ... + 47027.

It is an arithmetic number, because the mean of its divisors is an integer number (17253054).

Almost surely, 2^412551648 is an apocalyptic number.

412551648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

412551648 is an abundant number, since it is smaller than the sum of its proper divisors (829668240).

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

412551648 is a wasteful number, since it uses less digits than its factorization.

412551648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84296 (or 84285 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 412551648 is about 20311.3674576578. The cubic root of 412551648 is about 744.4338433942.

The spelling of 412551648 in words is "four hundred twelve million, five hundred fifty-one thousand, six hundred forty-eight".