408054400 has 192 divisors, whose sum is σ = 1151410680. Its totient is φ = 141557760.

The previous prime is 408054347. The next prime is 408054419. The reversal of 408054400 is 4450804.

It can be written as a sum of positive squares in 12 ways, for example, as 113039424 + 295014976 = 10632^2 + 17176^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 706912 + ... + 707488.

Almost surely, 2^408054400 is an apocalyptic number.

408054400 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 408054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575705340).

408054400 is an abundant number, since it is smaller than the sum of its proper divisors (743356280).

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

408054400 is a wasteful number, since it uses less digits than its factorization.

408054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 408054400 is about 20200.3564324989. The cubic root of 408054400 is about 741.7189162085.

The spelling of 408054400 in words is "four hundred eight million, fifty-four thousand, four hundred".