405427200 has 132 divisors (see below), whose sum is σ = 1340211840. Its totient is φ = 108093440.

The previous prime is 405427103. The next prime is 405427201. The reversal of 405427200 is 2724504.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405427201) 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, 74161 + ... + 79439.

It is an arithmetic number, because the mean of its divisors is an integer number (10153120).

Almost surely, 2^405427200 is an apocalyptic number.

405427200 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 405427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670105920).

405427200 is an abundant number, since it is smaller than the sum of its proper divisors (934784640).

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

405427200 is a wasteful number, since it uses less digits than its factorization.

405427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 405427200 is about 20135.2228693898. Note that the first 3 decimals coincide. The cubic root of 405427200 is about 740.1236705895.

The spelling of 405427200 in words is "four hundred five million, four hundred twenty-seven thousand, two hundred".