409893120 has 864 divisors, whose sum is σ = 1928489472. Its totient is φ = 77856768.

The previous prime is 409893101. The next prime is 409893131. The reversal of 409893120 is 21398904.

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, 17821429 + ... + 17821451.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048).

Almost surely, 2^409893120 is an apocalyptic number.

409893120 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 409893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964244736).

409893120 is an abundant number, since it is smaller than the sum of its proper divisors (1518596352).

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

409893120 is a wasteful number, since it uses less digits than its factorization.

409893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 409893120 is about 20245.8173458124. The cubic root of 409893120 is about 742.8313251100.

The spelling of 409893120 in words is "four hundred nine million, eight hundred ninety-three thousand, one hundred twenty".