405214964 has 96 divisors (see below), whose sum is σ = 909038592. Its totient is φ = 154783200.

The previous prime is 405214939. The next prime is 405214967. The reversal of 405214964 is 469412504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405214967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3093179 + ... + 3093309.

It is an arithmetic number, because the mean of its divisors is an integer number (9469152).

Almost surely, 2^405214964 is an apocalyptic number.

405214964 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 405214964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454519296).

405214964 is an abundant number, since it is smaller than the sum of its proper divisors (503823628).

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

405214964 is a wasteful number, since it uses less digits than its factorization.

405214964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 405214964 is about 20129.9519125109. The cubic root of 405214964 is about 739.9944995939.

The spelling of 405214964 in words is "four hundred five million, two hundred fourteen thousand, nine hundred sixty-four".