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400669056 = 27321741499
BaseRepresentation
bin10111111000011…
…011100110000000
31000220221002121200
4113320123212000
51310032402211
6103431421200
712633426234
oct2770334600
91026832550
10400669056
11196192657
12b2224800
1365016ca8
143b2da5c4
1525296b56
hex17e1b980

400669056 has 192 divisors, whose sum is σ = 1253070000. Its totient is φ = 122388480.

The previous prime is 400669043. The next prime is 400669057. The reversal of 400669056 is 650966004.

It is a happy number.

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

It is a super-2 number, since 2×4006690562 = 321071384871862272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 400669056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400669057) 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, 802695 + ... + 803193.

Almost surely, 2400669056 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 400669056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626535000).

400669056 is an abundant number, since it is smaller than the sum of its proper divisors (852400944).

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

400669056 is a wasteful number, since it uses less digits than its factorization.

400669056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 400669056 is about 20016.7194115320. The cubic root of 400669056 is about 737.2168747947.

The spelling of 400669056 in words is "four hundred million, six hundred sixty-nine thousand, fifty-six".