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486944640 = 27325713929
BaseRepresentation
bin11101000001100…
…010111110000000
31020221021100110200
4131001202332000
51444124212030
6120152525200
715031650450
oct3501427600
91227240420
10486944640
1122a95a796
121170b0800
1379b63930
1448957d60
152cb39d60
hex1d062f80

486944640 has 384 divisors, whose sum is σ = 2071742400. Its totient is φ = 102629376.

The previous prime is 486944629. The next prime is 486944669. The reversal of 486944640 is 46449684.

486944640 is a `hidden beast` number, since 486 + 94 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523696 + ... + 524624.

Almost surely, 2486944640 is an apocalyptic number.

486944640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035871200).

486944640 is an abundant number, since it is smaller than the sum of its proper divisors (1584797760).

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

486944640 is a wasteful number, since it uses less digits than its factorization.

486944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 486944640 is about 22066.8221545378. The cubic root of 486944640 is about 786.7314830567.

The spelling of 486944640 in words is "four hundred eighty-six million, nine hundred forty-four thousand, six hundred forty".