406814364 has 108 divisors (see below), whose sum is σ = 1160260920. Its totient is φ = 119188800.

The previous prime is 406814347. The next prime is 406814383. The reversal of 406814364 is 463418604.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380022 + ... + 381090.

Almost surely, 2^406814364 is an apocalyptic number.

406814364 is a gapful number since it is divisible by the number (44) 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 406814364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580130460).

406814364 is an abundant number, since it is smaller than the sum of its proper divisors (753446556).

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

406814364 is a wasteful number, since it uses less digits than its factorization.

406814364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 406814364 is about 20169.6396596469. The cubic root of 406814364 is about 740.9668176173.

The spelling of 406814364 in words is "four hundred six million, eight hundred fourteen thousand, three hundred sixty-four".