412676640 has 96 divisors (see below), whose sum is σ = 1444383360. Its totient is φ = 110045952.

The previous prime is 412676639. The next prime is 412676689. The reversal of 412676640 is 46676214.

412676640 is a `hidden beast` number, since 4 + 1 + 2 + 6 + 7 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 412676595 and 412676604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43444 + ... + 52083.

It is an arithmetic number, because the mean of its divisors is an integer number (15045660).

Almost surely, 2^412676640 is an apocalyptic number.

412676640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412676640 is an abundant number, since it is smaller than the sum of its proper divisors (1031706720).

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

412676640 is a wasteful number, since it uses less digits than its factorization.

412676640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95551 (or 95537 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 412676640 is about 20314.4441223480. Note that the first 3 decimals coincide. The cubic root of 412676640 is about 744.5090169148.

The spelling of 412676640 in words is "four hundred twelve million, six hundred seventy-six thousand, six hundred forty".