410474240 has 72 divisors (see below), whose sum is σ = 1072633968. Its totient is φ = 149258240.

The previous prime is 410474179. The next prime is 410474249. The reversal of 410474240 is 42474014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410474249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 497 + ... + 28656.

It is an arithmetic number, because the mean of its divisors is an integer number (14897694).

Almost surely, 2^410474240 is an apocalyptic number.

410474240 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 410474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536316984).

410474240 is an abundant number, since it is smaller than the sum of its proper divisors (662159728).

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

410474240 is a wasteful number, since it uses less digits than its factorization.

410474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29185 (or 29171 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 410474240 is about 20260.1638690313. The cubic root of 410474240 is about 743.1822054406.

The spelling of 410474240 in words is "four hundred ten million, four hundred seventy-four thousand, two hundred forty".