408484257220 has 48 divisors (see below), whose sum is σ = 948770525808. Its totient is φ = 146748602880.

The previous prime is 408484257211. The next prime is 408484257229. The reversal of 408484257220 is 22752484804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (408484257211) and next prime (408484257229).

It can be written as a sum of positive squares in 8 ways, for example, as 2541974724 + 405942282496 = 50418^2 + 637136^2 .

It is not an unprimeable number, because it can be changed into a prime (408484257229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21221371 + ... + 21240610.

It is an arithmetic number, because the mean of its divisors is an integer number (19766052621).

Almost surely, 2^408484257220 is an apocalyptic number.

It is an amenable number.

408484257220 is an abundant number, since it is smaller than the sum of its proper divisors (540286268588).

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

408484257220 is a wasteful number, since it uses less digits than its factorization.

408484257220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42462040 (or 42462038 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 46.

The spelling of 408484257220 in words is "four hundred eight billion, four hundred eighty-four million, two hundred fifty-seven thousand, two hundred twenty".