409018680 has 384 divisors, whose sum is σ = 1625184000. Its totient is φ = 91203840.

The previous prime is 409018667. The next prime is 409018699. The reversal of 409018680 is 86810904.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3122215 + ... + 3122345.

It is an arithmetic number, because the mean of its divisors is an integer number (4232250).

Almost surely, 2^409018680 is an apocalyptic number.

409018680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409018680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812592000).

409018680 is an abundant number, since it is smaller than the sum of its proper divisors (1216165320).

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

409018680 is a wasteful number, since it uses less digits than its factorization.

409018680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 409018680 is about 20224.2102441603. The cubic root of 409018680 is about 742.3027126080.

The spelling of 409018680 in words is "four hundred nine million, eighteen thousand, six hundred eighty".