407864387074752 has 560 divisors, whose sum is σ = 1280397521142432. Its totient is φ = 128218312212480.

The previous prime is 407864387074681. The next prime is 407864387074757. The reversal of 407864387074752 is 257470783468704.

It is a happy number.

407864387074752 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 6 + 438 + 70 + 74 + 7 + 52 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (407864387074757) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 886290988 + ... + 886751060.

Almost surely, 2^{407864387074752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407864387074752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640198760571216).

407864387074752 is an abundant number, since it is smaller than the sum of its proper divisors (872533134067680).

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

407864387074752 is a wasteful number, since it uses less digits than its factorization.

407864387074752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460278 (or 460259 counting only the distinct ones).

The product of its (nonzero) digits is 1770209280, while the sum is 72.

The spelling of 407864387074752 in words is "four hundred seven trillion, eight hundred sixty-four billion, three hundred eighty-seven million, seventy-four thousand, seven hundred fifty-two".