405525400 has 96 divisors (see below), whose sum is σ = 1100643840. Its totient is φ = 136056960.

The previous prime is 405525391. The next prime is 405525413. The reversal of 405525400 is 4525504.

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, 62719 + ... + 68881.

It is an arithmetic number, because the mean of its divisors is an integer number (11465040).

Almost surely, 2^405525400 is an apocalyptic number.

405525400 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 405525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550321920).

405525400 is an abundant number, since it is smaller than the sum of its proper divisors (695118440).

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

405525400 is a wasteful number, since it uses less digits than its factorization.

405525400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6233 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 405525400 is about 20137.6612346121. The cubic root of 405525400 is about 740.1834217830.

The spelling of 405525400 in words is "four hundred five million, five hundred twenty-five thousand, four hundred".