408245400 has 384 divisors, whose sum is σ = 1553472000. Its totient is φ = 98081280.

The previous prime is 408245389. The next prime is 408245413. The reversal of 408245400 is 4542804.

408245400 is a `hidden beast` number, since 40 + 82 + 4 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2359714 + ... + 2359886.

It is an arithmetic number, because the mean of its divisors is an integer number (4045500).

Almost surely, 2^408245400 is an apocalyptic number.

408245400 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 408245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776736000).

408245400 is an abundant number, since it is smaller than the sum of its proper divisors (1145226600).

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

408245400 is a wasteful number, since it uses less digits than its factorization.

408245400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 408245400 is about 20205.0835187583. The cubic root of 408245400 is about 741.8346248125.

The spelling of 408245400 in words is "four hundred eight million, two hundred forty-five thousand, four hundred".