414005352 has 32 divisors (see below), whose sum is σ = 1095897600. Its totient is φ = 129883904.

The previous prime is 414005329. The next prime is 414005387. The reversal of 414005352 is 253500414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506952 + ... + 507767.

It is an arithmetic number, because the mean of its divisors is an integer number (34246800).

Almost surely, 2^414005352 is an apocalyptic number.

It is an amenable number.

414005352 is an abundant number, since it is smaller than the sum of its proper divisors (681892248).

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

414005352 is a wasteful number, since it uses less digits than its factorization.

414005352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014745 (or 1014741 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 414005352 is about 20347.1214671756. The cubic root of 414005352 is about 745.3072030064.

Adding to 414005352 its reverse (253500414), we get a palindrome (667505766).

The spelling of 414005352 in words is "four hundred fourteen million, five thousand, three hundred fifty-two".