408048400 has 120 divisors (see below), whose sum is σ = 1017122400. Its totient is φ = 157209600.

The previous prime is 408048373. The next prime is 408048401. The reversal of 408048400 is 4840804.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (408048401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2279511 + ... + 2279689.

It is an arithmetic number, because the mean of its divisors is an integer number (8476020).

Almost surely, 2^408048400 is an apocalyptic number.

408048400 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 408048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508561200).

408048400 is an abundant number, since it is smaller than the sum of its proper divisors (609074000).

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

408048400 is a wasteful number, since it uses less digits than its factorization.

408048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 408048400 is about 20200.2079197220. The cubic root of 408048400 is about 741.7152807983.

The spelling of 408048400 in words is "four hundred eight million, forty-eight thousand, four hundred".