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402401664 = 27327139359
BaseRepresentation
bin10111111111000…
…010100110000000
31001001012010022100
4113333002212000
51311003323124
6103532510400
712654233460
oct2777024600
91031163270
10402401664
11197166365
12b291b400
13654a27c2
143b62bba0
15254da1c9
hex17fc2980

402401664 has 192 divisors, whose sum is σ = 1336608000. Its totient is φ = 113826816.

The previous prime is 402401647. The next prime is 402401683. The reversal of 402401664 is 466104204.

Adding to 402401664 its reverse (466104204), we get a palindrome (868505868).

It is a tau number, because it is divible by the number of its divisors (192).

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, 1120717 + ... + 1121075.

It is an arithmetic number, because the mean of its divisors is an integer number (6961500).

Almost surely, 2402401664 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 402401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304000).

402401664 is an abundant number, since it is smaller than the sum of its proper divisors (934206336).

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

402401664 is a wasteful number, since it uses less digits than its factorization.

402401664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 402401664 is about 20059.9517447077. The cubic root of 402401664 is about 738.2779925241.

The spelling of 402401664 in words is "four hundred two million, four hundred one thousand, six hundred sixty-four".