406713467520 has 640 divisors, whose sum is σ = 1522532816640. Its totient is φ = 103267270656.

The previous prime is 406713467507. The next prime is 406713467603. The reversal of 406713467520 is 25764317604.

406713467520 is a `hidden beast` number, since 4 + 0 + 67 + 1 + 3 + 4 + 67 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 313579512 + ... + 313580808.

It is an arithmetic number, because the mean of its divisors is an integer number (2378957526).

Almost surely, 2^406713467520 is an apocalyptic number.

406713467520 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 406713467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761266408320).

406713467520 is an abundant number, since it is smaller than the sum of its proper divisors (1115819349120).

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

406713467520 is a wasteful number, since it uses less digits than its factorization.

406713467520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 406713467520 in words is "four hundred six billion, seven hundred thirteen million, four hundred sixty-seven thousand, five hundred twenty".