405924004620 has 144 divisors (see below), whose sum is σ = 1241351354880. Its totient is φ = 107364521088.

The previous prime is 405924004613. The next prime is 405924004621. The reversal of 405924004620 is 26400429504.

405924004620 is a `hidden beast` number, since 4 + 0 + 5 + 9 + 24 + 0 + 0 + 4 + 620 = 666.

It is a super-3 number, since 3×405924004620³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (405924004621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28090237 + ... + 28104683.

It is an arithmetic number, because the mean of its divisors is an integer number (8620495520).

Almost surely, 2^405924004620 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 405924004620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620675677440).

405924004620 is an abundant number, since it is smaller than the sum of its proper divisors (835427350260).

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

405924004620 is a wasteful number, since it uses less digits than its factorization.

405924004620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15724 (or 15719 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 405924004620 in words is "four hundred five billion, nine hundred twenty-four million, four thousand, six hundred twenty".