408225400 has 48 divisors (see below), whose sum is σ = 1035413640. Its totient is φ = 148444800.

The previous prime is 408225379. The next prime is 408225407. The reversal of 408225400 is 4522804.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408225407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90579 + ... + 94978.

Almost surely, 2^408225400 is an apocalyptic number.

408225400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408225400 is an abundant number, since it is smaller than the sum of its proper divisors (627188240).

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

408225400 is a wasteful number, since it uses less digits than its factorization.

408225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185584 (or 185575 counting only the distinct ones).

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

The square root of 408225400 is about 20204.5885877441. The cubic root of 408225400 is about 741.8225104202.

The spelling of 408225400 in words is "four hundred eight million, two hundred twenty-five thousand, four hundred".