405295002 has 80 divisors (see below), whose sum is σ = 1042907712. Its totient is φ = 115240320.

The previous prime is 405295001. The next prime is 405295031. The reversal of 405295002 is 200592504.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (405295001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 272553 + ... + 274035.

Almost surely, 2^405295002 is an apocalyptic number.

405295002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 405295002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521453856).

405295002 is an abundant number, since it is smaller than the sum of its proper divisors (637612710).

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

405295002 is a wasteful number, since it uses less digits than its factorization.

405295002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 405295002 is about 20131.9398469199. The cubic root of 405295002 is about 740.0432175880.

The spelling of 405295002 in words is "four hundred five million, two hundred ninety-five thousand, two".