405395952 has 80 divisors (see below), whose sum is σ = 1133156640. Its totient is φ = 124148736.

The previous prime is 405395941. The next prime is 405395971. The reversal of 405395952 is 259593504.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141478 + ... + 144314.

It is an arithmetic number, because the mean of its divisors is an integer number (14164458).

Almost surely, 2^405395952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405395952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566578320).

405395952 is an abundant number, since it is smaller than the sum of its proper divisors (727760688).

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

405395952 is a wasteful number, since it uses less digits than its factorization.

405395952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The square root of 405395952 is about 20134.4469007718. The cubic root of 405395952 is about 740.1046552738.

The spelling of 405395952 in words is "four hundred five million, three hundred ninety-five thousand, nine hundred fifty-two".