412064640 has 192 divisors, whose sum is σ = 1532643840. Its totient is φ = 101412864.

The previous prime is 412064603. The next prime is 412064641. The reversal of 412064640 is 46460214.

412064640 is a `hidden beast` number, since 4 + 12 + 0 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412064641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 72129 + ... + 77631.

It is an arithmetic number, because the mean of its divisors is an integer number (7982520).

Almost surely, 2^412064640 is an apocalyptic number.

412064640 is a gapful number since it is divisible by the number (40) 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 412064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766321920).

412064640 is an abundant number, since it is smaller than the sum of its proper divisors (1120579200).

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

412064640 is a wasteful number, since it uses less digits than its factorization.

412064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5541 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 412064640 is about 20299.3753598479. The cubic root of 412064640 is about 744.1407988817.

The spelling of 412064640 in words is "four hundred twelve million, sixty-four thousand, six hundred forty".