405214000 has 120 divisors (see below), whose sum is σ = 1026934272. Its totient is φ = 154633600.

The previous prime is 405213979. The next prime is 405214001. The reversal of 405214000 is 412504.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (405214001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057809 + ... + 1058191.

Almost surely, 2^405214000 is an apocalyptic number.

405214000 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 405214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513467136).

405214000 is an abundant number, since it is smaller than the sum of its proper divisors (621720272).

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

405214000 is a wasteful number, since it uses less digits than its factorization.

405214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 405214000 is about 20129.9279680778. The cubic root of 405214000 is about 739.9939127817.

Adding to 405214000 its reverse (412504), we get a palindrome (405626504).

It can be divided in two parts, 40521 and 4000, that added together give a square (44521 = 211²).

The spelling of 405214000 in words is "four hundred five million, two hundred fourteen thousand".