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401666496 = 263711101269
BaseRepresentation
bin10111111100001…
…111000111000000
31000222210202211220
4113330033013000
51310311311441
6103505035040
712645052230
oct2774170700
91028722756
10401666496
11196803a90
12b2625a80
13652a5caa
143b4b9cc0
15253e2466
hex17f0f1c0

401666496 has 224 divisors, whose sum is σ = 1343070720. Its totient is φ = 102912000.

The previous prime is 401666477. The next prime is 401666519. The reversal of 401666496 is 694666104.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4016664962 = 322671948017836032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1493050 + ... + 1493318.

Almost surely, 2401666496 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 401666496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671535360).

401666496 is an abundant number, since it is smaller than the sum of its proper divisors (941404224).

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

401666496 is a wasteful number, since it uses less digits than its factorization.

401666496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 401666496 is about 20041.6190962706. The cubic root of 401666496 is about 737.8281192834.

The spelling of 401666496 in words is "four hundred one million, six hundred sixty-six thousand, four hundred ninety-six".