409464120 has 128 divisors (see below), whose sum is σ = 1365719040. Its totient is φ = 97528320.

The previous prime is 409464113. The next prime is 409464131. The reversal of 409464120 is 21464904.

It is a super-3 number, since 3×409464120³ (a number of 27 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 44127 + ... + 52593.

It is an arithmetic number, because the mean of its divisors is an integer number (10669680).

Almost surely, 2^409464120 is an apocalyptic number.

409464120 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 409464120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682859520).

409464120 is an abundant number, since it is smaller than the sum of its proper divisors (956254920).

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

409464120 is a wasteful number, since it uses less digits than its factorization.

409464120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8525 (or 8521 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 409464120 is about 20235.2197912452. The cubic root of 409464120 is about 742.5720820179.

The spelling of 409464120 in words is "four hundred nine million, four hundred sixty-four thousand, one hundred twenty".