410797440 has 128 divisors (see below), whose sum is σ = 1454968800. Its totient is φ = 109541376.

The previous prime is 410797433. The next prime is 410797451. The reversal of 410797440 is 44797014.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 410797395 and 410797404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5394 + ... + 29166.

Almost surely, 2^410797440 is an apocalyptic number.

410797440 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 410797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727484400).

410797440 is an abundant number, since it is smaller than the sum of its proper divisors (1044171360).

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

410797440 is a wasteful number, since it uses less digits than its factorization.

410797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23801 (or 23783 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 410797440 is about 20268.1385430434. The cubic root of 410797440 is about 743.3772103486.

It can be divided in two parts, 4107974 and 40, that added together give a palindrome (4108014).

The spelling of 410797440 in words is "four hundred ten million, seven hundred ninety-seven thousand, four hundred forty".