415678890 has 64 divisors (see below), whose sum is σ = 1092413952. Its totient is φ = 100392000.

The previous prime is 415678877. The next prime is 415678909. The reversal of 415678890 is 98876514.

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 31 ways as a sum of consecutive naturals, for example, 91165 + ... + 95615.

It is an arithmetic number, because the mean of its divisors is an integer number (17068968).

Almost surely, 2^415678890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415678890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546206976).

415678890 is an abundant number, since it is smaller than the sum of its proper divisors (676735062).

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

415678890 is a wasteful number, since it uses less digits than its factorization.

415678890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755.

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 415678890 is about 20388.2046781957. The cubic root of 415678890 is about 746.3101071366.

The spelling of 415678890 in words is "four hundred fifteen million, six hundred seventy-eight thousand, eight hundred ninety".