409629090 has 32 divisors (see below), whose sum is σ = 1058734656. Its totient is φ = 100831680.

The previous prime is 409629079. The next prime is 409629097. The reversal of 409629090 is 90926904.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (409629097) 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 15 ways as a sum of consecutive naturals, for example, 524776 + ... + 525555.

It is an arithmetic number, because the mean of its divisors is an integer number (33085458).

Almost surely, 2^409629090 is an apocalyptic number.

409629090 is an abundant number, since it is smaller than the sum of its proper divisors (649105566).

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

409629090 is a wasteful number, since it uses less digits than its factorization.

409629090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050354.

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 409629090 is about 20239.2956893267. The cubic root of 409629090 is about 742.6717941883.

The spelling of 409629090 in words is "four hundred nine million, six hundred twenty-nine thousand, ninety".