411252480 has 216 divisors, whose sum is σ = 1473151680. Its totient is φ = 105799680.

The previous prime is 411252469. The next prime is 411252547. The reversal of 411252480 is 84252114.

411252480 is a `hidden beast` number, since 411 + 2 + 5 + 248 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333465 + ... + 334695.

Almost surely, 2^411252480 is an apocalyptic number.

411252480 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 411252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736575840).

411252480 is an abundant number, since it is smaller than the sum of its proper divisors (1061899200).

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

411252480 is a wasteful number, since it uses less digits than its factorization.

411252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 411252480 is about 20279.3609366765. The cubic root of 411252480 is about 743.6515885137.

It can be divided in two parts, 41 and 1252480, that added together give a palindrome (1252521).

The spelling of 411252480 in words is "four hundred eleven million, two hundred fifty-two thousand, four hundred eighty".