408746479320 has 288 divisors, whose sum is σ = 1357403317920. Its totient is φ = 106651883520.

The previous prime is 408746479313. The next prime is 408746479327. The reversal of 408746479320 is 23974647804.

408746479320 is a `hidden beast` number, since 4 + 0 + 87 + 464 + 79 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (408746479313) and next prime (408746479327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408746479327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 647775405 + ... + 647776035.

It is an arithmetic number, because the mean of its divisors is an integer number (4713205965).

Almost surely, 2^408746479320 is an apocalyptic number.

408746479320 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 408746479320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678701658960).

408746479320 is an abundant number, since it is smaller than the sum of its proper divisors (948656838600).

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

408746479320 is a wasteful number, since it uses less digits than its factorization.

408746479320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 408746479320 in words is "four hundred eight billion, seven hundred forty-six million, four hundred seventy-nine thousand, three hundred twenty".