409150560 has 768 divisors, whose sum is σ = 1828915200. Its totient is φ = 74317824.

The previous prime is 409150529. The next prime is 409150627. The reversal of 409150560 is 65051904.

409150560 = T₁₉ + T₂₀ + ... + T₁₃₄₈.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14108626 + ... + 14108654.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^409150560 is an apocalyptic number.

409150560 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 409150560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914457600).

409150560 is an abundant number, since it is smaller than the sum of its proper divisors (1419764640).

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

409150560 is a wasteful number, since it uses less digits than its factorization.

409150560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 409150560 is about 20227.4704300859. The cubic root of 409150560 is about 742.3824843209.

The spelling of 409150560 in words is "four hundred nine million, one hundred fifty thousand, five hundred sixty".