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BaseRepresentation
bin11000100001011…
…111010000000100
31001200011220112000
4120201133100010
51320311310230
6104454225300
713124054013
oct3041372004
91050156460
10411431940
111a12739a7
12b5955230
1367314b6a
143c8dca7a
15261c0b60
hex1885f404

411431940 has 96 divisors (see below), whose sum is σ = 1285320960. Its totient is φ = 109260288.

The previous prime is 411431899. The next prime is 411431953. The reversal of 411431940 is 49134114.

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

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 31 ways as a sum of consecutive naturals, for example, 140572 + ... + 143468.

It is an arithmetic number, because the mean of its divisors is an integer number (13388760).

Almost surely, 2411431940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411431940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642660480).

411431940 is an abundant number, since it is smaller than the sum of its proper divisors (873889020).

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

411431940 is a wasteful number, since it uses less digits than its factorization.

411431940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 411431940 is about 20283.7851497200. The cubic root of 411431940 is about 743.7597429225.

The spelling of 411431940 in words is "four hundred eleven million, four hundred thirty-one thousand, nine hundred forty".