408120000 has 280 divisors, whose sum is σ = 1428292800. Its totient is φ = 102528000.

The previous prime is 408119989. The next prime is 408120001. The reversal of 408120000 is 21804.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (408120001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2279911 + ... + 2280089.

Almost surely, 2^408120000 is an apocalyptic number.

408120000 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 408120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714146400).

408120000 is an abundant number, since it is smaller than the sum of its proper divisors (1020172800).

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

408120000 is a wasteful number, since it uses less digits than its factorization.

408120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 408120000 is about 20201.9801009703. The cubic root of 408120000 is about 741.7586610347.

Adding to 408120000 its reverse (21804), we get a palindrome (408141804).

The spelling of 408120000 in words is "four hundred eight million, one hundred twenty thousand".