407898468000 has 288 divisors, whose sum is σ = 1510575236352. Its totient is φ = 104043456000.

The previous prime is 407898467987. The next prime is 407898468011. The reversal of 407898468000 is 864898704.

407898468000 is a `hidden beast` number, since 407 + 89 + 84 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581685 + ... + 1074315.

It is an arithmetic number, because the mean of its divisors is an integer number (5245052904).

Almost surely, 2^407898468000 is an apocalyptic number.

407898468000 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 407898468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755287618176).

407898468000 is an abundant number, since it is smaller than the sum of its proper divisors (1102676768352).

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

407898468000 is a wasteful number, since it uses less digits than its factorization.

407898468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492685 (or 492664 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 407898468000 in words is "four hundred seven billion, eight hundred ninety-eight million, four hundred sixty-eight thousand".