405062352 has 60 divisors (see below), whose sum is σ = 1137934980. Its totient is φ = 134505984.

The previous prime is 405062321. The next prime is 405062353. The reversal of 405062352 is 253260504.

It can be written as a sum of positive squares in 2 ways, for example, as 191434896 + 213627456 = 13836^2 + 14616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405062353) 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, 33508 + ... + 43964.

It is an arithmetic number, because the mean of its divisors is an integer number (18965583).

Almost surely, 2^405062352 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 405062352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568967490).

405062352 is an abundant number, since it is smaller than the sum of its proper divisors (732872628).

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

405062352 is a wasteful number, since it uses less digits than its factorization.

405062352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10740 (or 10731 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 405062352 is about 20126.1608857725. The cubic root of 405062352 is about 739.9015890558.

The spelling of 405062352 in words is "four hundred five million, sixty-two thousand, three hundred fifty-two".