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996470400 = 27352234513
BaseRepresentation
bin111011011001001…
…110111010000000
32120110000221102010
4323121032322000
54020044023100
6242513452520
733456600342
oct7331167200
92513027363
10996470400
11471532a62
12239871140
1312b5a2773
14964ad292
155c735750
hex3b64ee80

996470400 has 192 divisors, whose sum is σ = 3425584320. Its totient is φ = 254115840.

The previous prime is 996470399. The next prime is 996470407. The reversal of 996470400 is 4074699.

996470400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (996470407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218544 + ... + 223056.

It is an arithmetic number, because the mean of its divisors is an integer number (17841585).

Almost surely, 2996470400 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 996470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712792160).

996470400 is an abundant number, since it is smaller than the sum of its proper divisors (2429113920).

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

996470400 is a wasteful number, since it uses less digits than its factorization.

996470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 996470400 is about 31566.9193935677. The cubic root of 996470400 is about 998.8220797153.

The spelling of 996470400 in words is "nine hundred ninety-six million, four hundred seventy thousand, four hundred".