405557352 has 24 divisors (see below), whose sum is σ = 1098384690. Its totient is φ = 135185760.

The previous prime is 405557351. The next prime is 405557353. The reversal of 405557352 is 253755504.

It is an interprime number because it is at equal distance from previous prime (405557351) and next prime (405557353).

It can be written as a sum of positive squares in only one way, i.e., 384708996 + 20848356 = 19614^2 + 4566^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×405557352² = 328953531522503808, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (405557351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2816299 + ... + 2816442.

Almost surely, 2^405557352 is an apocalyptic number.

It is an amenable number.

405557352 is an abundant number, since it is smaller than the sum of its proper divisors (692827338).

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

405557352 is a wasteful number, since it uses less digits than its factorization.

405557352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632753 (or 5632746 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The square root of 405557352 is about 20138.4545583816. The cubic root of 405557352 is about 740.2028613541.

The spelling of 405557352 in words is "four hundred five million, five hundred fifty-seven thousand, three hundred fifty-two".