410655672 has 288 divisors, whose sum is σ = 1411693920. Its totient is φ = 107089920.

The previous prime is 410655671. The next prime is 410655703. The reversal of 410655672 is 276556014.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410655671) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2458933 + ... + 2459099.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2^410655672 is an apocalyptic number.

410655672 is a gapful number since it is divisible by the number (42) 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 410655672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705846960).

410655672 is an abundant number, since it is smaller than the sum of its proper divisors (1001038248).

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

410655672 is a wasteful number, since it uses less digits than its factorization.

410655672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 410655672 is about 20264.6409294613. The cubic root of 410655672 is about 743.2916862633.

The spelling of 410655672 in words is "four hundred ten million, six hundred fifty-five thousand, six hundred seventy-two".