410980752 has 240 divisors, whose sum is σ = 1437130240. Its totient is φ = 106748928.

The previous prime is 410980751. The next prime is 410980753. The reversal of 410980752 is 257089014.

It is an interprime number because it is at equal distance from previous prime (410980751) and next prime (410980753).

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

It is not an unprimeable number, because it can be changed into a prime (410980751) 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 47 ways as a sum of consecutive naturals, for example, 1035018 + ... + 1035414.

Almost surely, 2^410980752 is an apocalyptic number.

410980752 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 410980752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718565120).

410980752 is an abundant number, since it is smaller than the sum of its proper divisors (1026149488).

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

410980752 is a wasteful number, since it uses less digits than its factorization.

410980752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 410980752 is about 20272.6602102437. The cubic root of 410980752 is about 743.4877674306.

The spelling of 410980752 in words is "four hundred ten million, nine hundred eighty thousand, seven hundred fifty-two".