407928745974879 has 24 divisors (see below), whose sum is σ = 589784885264640. Its totient is φ = 271696623991632.

The previous prime is 407928745974877. The next prime is 407928745975007. The reversal of 407928745974879 is 978479547829704.

It is a happy number.

407928745974879 is a `hidden beast` number, since 4 + 0 + 7 + 9 + 2 + 8 + 7 + 4 + 597 + 4 + 8 + 7 + 9 = 666.

It is not a de Polignac number, because 407928745974879 - 2¹ = 407928745974877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407928745974877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127996842 + ... + 131145144.

It is an arithmetic number, because the mean of its divisors is an integer number (24574370219360).

Almost surely, 2^{407928745974879} is an apocalyptic number.

407928745974879 is a deficient number, since it is larger than the sum of its proper divisors (181856139289761).

407928745974879 is a wasteful number, since it uses less digits than its factorization.

407928745974879 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161851 (or 3161848 counting only the distinct ones).

The product of its (nonzero) digits is 71693475840, while the sum is 90.

The spelling of 407928745974879 in words is "four hundred seven trillion, nine hundred twenty-eight billion, seven hundred forty-five million, nine hundred seventy-four thousand, eight hundred seventy-nine".