411272640 has 392 divisors, whose sum is σ = 1539136368. Its totient is φ = 104509440.

The previous prime is 411272639. The next prime is 411272663. The reversal of 411272640 is 46272114.

411272640 is a `hidden beast` number, since 4 + 1 + 12 + 7 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9564459 + ... + 9564501.

Almost surely, 2^411272640 is an apocalyptic number.

411272640 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 411272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769568184).

411272640 is an abundant number, since it is smaller than the sum of its proper divisors (1127863728).

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

411272640 is an equidigital number, since it uses as much as digits as its factorization.

411272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 411272640 is about 20279.8579876685. The cubic root of 411272640 is about 743.6637398253.

The spelling of 411272640 in words is "four hundred eleven million, two hundred seventy-two thousand, six hundred forty".