405698407920 has 800 divisors, whose sum is σ = 1571190312384. Its totient is φ = 96380928000.

The previous prime is 405698407867. The next prime is 405698407951. The reversal of 405698407920 is 29704896504.

405698407920 is a `hidden beast` number, since 4 + 0 + 569 + 8 + 4 + 0 + 79 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 348837259 + ... + 348838421.

Almost surely, 2^405698407920 is an apocalyptic number.

405698407920 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 405698407920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785595156192).

405698407920 is an abundant number, since it is smaller than the sum of its proper divisors (1165491904464).

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

405698407920 is a wasteful number, since it uses less digits than its factorization.

405698407920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 405698407920 in words is "four hundred five billion, six hundred ninety-eight million, four hundred seven thousand, nine hundred twenty".