345416490 has 48 divisors (see below), whose sum is σ = 911503008. Its totient is φ = 90734688.

The previous prime is 345416483. The next prime is 345416521. The reversal of 345416490 is 94614543.

345416490 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 1 + 649 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 22612 + ... + 34671.

It is an arithmetic number, because the mean of its divisors is an integer number (18989646).

Almost surely, 2^345416490 is an apocalyptic number.

345416490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345416490 is an abundant number, since it is smaller than the sum of its proper divisors (566086518).

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

345416490 is a wasteful number, since it uses less digits than its factorization.

345416490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57363 (or 57360 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 345416490 is about 18585.3837732773. The cubic root of 345416490 is about 701.6400253431.

The spelling of 345416490 in words is "three hundred forty-five million, four hundred sixteen thousand, four hundred ninety".