409041920 has 176 divisors, whose sum is σ = 1142520768. Its totient is φ = 137625600.

The previous prime is 409041917. The next prime is 409041973. The reversal of 409041920 is 29140904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3619784 + ... + 3619896.

Almost surely, 2^409041920 is an apocalyptic number.

409041920 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 409041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571260384).

409041920 is an abundant number, since it is smaller than the sum of its proper divisors (733478848).

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

409041920 is a wasteful number, since it uses less digits than its factorization.

409041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 409041920 is about 20224.7847948995. The cubic root of 409041920 is about 742.3167712881.

It can be divided in two parts, 40904 and 1920, that added together give a palindrome (42824).

The spelling of 409041920 in words is "four hundred nine million, forty-one thousand, nine hundred twenty".